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Finding the Third Proportional to 31,840.50 and 69,432

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Solution

The third proportional to 31,840.50 and 69,432 is: 151,404.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,840.50 : 69,432 = 69,432 : x
  2. Step 2: Convert to fraction form
    31,840.50/69,432 = 69,432/x
  3. Step 3: Cross multiply
    31,840.50x = 69,432 × 69,432
  4. Step 4: Simplify right side
    31,840.50x = 4,820,802,624
  5. Step 5: Solve for x
    x = 4,820,802,624/31,840.50
  6. Step 6: Final answer
    x = 151,404.74

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.