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Finding the Third Proportional to 10,088.02 and 19,917.70

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Solution

The third proportional to 10,088.02 and 19,917.70 is: 39,325.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,088.02 : 19,917.70 = 19,917.70 : x
  2. Step 2: Convert to fraction form
    10,088.02/19,917.70 = 19,917.70/x
  3. Step 3: Cross multiply
    10,088.02x = 19,917.70 × 19,917.70
  4. Step 4: Simplify right side
    10,088.02x = 396,714,897.78
  5. Step 5: Solve for x
    x = 396,714,897.78/10,088.02
  6. Step 6: Final answer
    x = 39,325.37

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These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.