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Finding the Third Proportional to 31,549.50 and 67,476.25

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Solution

The third proportional to 31,549.50 and 67,476.25 is: 144,314.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,549.50 : 67,476.25 = 67,476.25 : x
  2. Step 2: Convert to fraction form
    31,549.50/67,476.25 = 67,476.25/x
  3. Step 3: Cross multiply
    31,549.50x = 67,476.25 × 67,476.25
  4. Step 4: Simplify right side
    31,549.50x = 4,553,044,314.06
  5. Step 5: Solve for x
    x = 4,553,044,314.06/31,549.50
  6. Step 6: Final answer
    x = 144,314.31

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.