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Finding the Third Proportional to 5,194.13 and 9,811.13

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Solution

The third proportional to 5,194.13 and 9,811.13 is: 18,532.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,194.13 : 9,811.13 = 9,811.13 : x
  2. Step 2: Convert to fraction form
    5,194.13/9,811.13 = 9,811.13/x
  3. Step 3: Cross multiply
    5,194.13x = 9,811.13 × 9,811.13
  4. Step 4: Simplify right side
    5,194.13x = 96,258,173.77
  5. Step 5: Solve for x
    x = 96,258,173.77/5,194.13
  6. Step 6: Final answer
    x = 18,532.13

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.89) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.