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Finding the Third Proportional to 31,333.50 and 67,557

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Solution

The third proportional to 31,333.50 and 67,557 is: 145,657.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,333.50 : 67,557 = 67,557 : x
  2. Step 2: Convert to fraction form
    31,333.50/67,557 = 67,557/x
  3. Step 3: Cross multiply
    31,333.50x = 67,557 × 67,557
  4. Step 4: Simplify right side
    31,333.50x = 4,563,948,249
  5. Step 5: Solve for x
    x = 4,563,948,249/31,333.50
  6. Step 6: Final answer
    x = 145,657.15

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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.