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Finding the Third Proportional to 29,549 and 68,337.50

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Solution

The third proportional to 29,549 and 68,337.50 is: 158,043.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,549 : 68,337.50 = 68,337.50 : x
  2. Step 2: Convert to fraction form
    29,549/68,337.50 = 68,337.50/x
  3. Step 3: Cross multiply
    29,549x = 68,337.50 × 68,337.50
  4. Step 4: Simplify right side
    29,549x = 4,670,013,906.25
  5. Step 5: Solve for x
    x = 4,670,013,906.25/29,549
  6. Step 6: Final answer
    x = 158,043.04

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.