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Finding the Third Proportional to 31,327 and 67,579.50

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Solution

The third proportional to 31,327 and 67,579.50 is: 145,784.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,327 : 67,579.50 = 67,579.50 : x
  2. Step 2: Convert to fraction form
    31,327/67,579.50 = 67,579.50/x
  3. Step 3: Cross multiply
    31,327x = 67,579.50 × 67,579.50
  4. Step 4: Simplify right side
    31,327x = 4,566,988,820.25
  5. Step 5: Solve for x
    x = 4,566,988,820.25/31,327
  6. Step 6: Final answer
    x = 145,784.43

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.