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Finding the Third Proportional to 29,397 and 69,382.50

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Solution

The third proportional to 29,397 and 69,382.50 is: 163,755.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,397 : 69,382.50 = 69,382.50 : x
  2. Step 2: Convert to fraction form
    29,397/69,382.50 = 69,382.50/x
  3. Step 3: Cross multiply
    29,397x = 69,382.50 × 69,382.50
  4. Step 4: Simplify right side
    29,397x = 4,813,931,306.25
  5. Step 5: Solve for x
    x = 4,813,931,306.25/29,397
  6. Step 6: Final answer
    x = 163,755.87

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.