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Finding the Third Proportional to 5,705.44 and 12,322.13

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Solution

The third proportional to 5,705.44 and 12,322.13 is: 26,612.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,705.44 : 12,322.13 = 12,322.13 : x
  2. Step 2: Convert to fraction form
    5,705.44/12,322.13 = 12,322.13/x
  3. Step 3: Cross multiply
    5,705.44x = 12,322.13 × 12,322.13
  4. Step 4: Simplify right side
    5,705.44x = 151,834,764.52
  5. Step 5: Solve for x
    x = 151,834,764.52/5,705.44
  6. Step 6: Final answer
    x = 26,612.29

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.