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Finding the Third Proportional to 16,881.75 and 31,354.13

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Solution

The third proportional to 16,881.75 and 31,354.13 is: 58,233.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,881.75 : 31,354.13 = 31,354.13 : x
  2. Step 2: Convert to fraction form
    16,881.75/31,354.13 = 31,354.13/x
  3. Step 3: Cross multiply
    16,881.75x = 31,354.13 × 31,354.13
  4. Step 4: Simplify right side
    16,881.75x = 983,081,154.52
  5. Step 5: Solve for x
    x = 983,081,154.52/16,881.75
  6. Step 6: Final answer
    x = 58,233.37

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These problems maintain the same ratio (1.86) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.