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Finding the Third Proportional to 11,701.13 and 22,322.25

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Solution

The third proportional to 11,701.13 and 22,322.25 is: 42,584.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,701.13 : 22,322.25 = 22,322.25 : x
  2. Step 2: Convert to fraction form
    11,701.13/22,322.25 = 22,322.25/x
  3. Step 3: Cross multiply
    11,701.13x = 22,322.25 × 22,322.25
  4. Step 4: Simplify right side
    11,701.13x = 498,282,845.06
  5. Step 5: Solve for x
    x = 498,282,845.06/11,701.13
  6. Step 6: Final answer
    x = 42,584.18

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.91) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.