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Finding the Third Proportional to 31,688.72 and 67,417.31

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Solution

The third proportional to 31,688.72 and 67,417.31 is: 143,429.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,688.72 : 67,417.31 = 67,417.31 : x
  2. Step 2: Convert to fraction form
    31,688.72/67,417.31 = 67,417.31/x
  3. Step 3: Cross multiply
    31,688.72x = 67,417.31 × 67,417.31
  4. Step 4: Simplify right side
    31,688.72x = 4,545,094,024.72
  5. Step 5: Solve for x
    x = 4,545,094,024.72/31,688.72
  6. Step 6: Final answer
    x = 143,429.40

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.