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Finding the Third Proportional to 15,717.16 and 34,198.45

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Solution

The third proportional to 15,717.16 and 34,198.45 is: 74,411.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,717.16 : 34,198.45 = 34,198.45 : x
  2. Step 2: Convert to fraction form
    15,717.16/34,198.45 = 34,198.45/x
  3. Step 3: Cross multiply
    15,717.16x = 34,198.45 × 34,198.45
  4. Step 4: Simplify right side
    15,717.16x = 1,169,534,196.14
  5. Step 5: Solve for x
    x = 1,169,534,196.14/15,717.16
  6. Step 6: Final answer
    x = 74,411.27

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.