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Finding the Third Proportional to 45,724.50 and 68,586

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Solution

The third proportional to 45,724.50 and 68,586 is: 102,877.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,724.50 : 68,586 = 68,586 : x
  2. Step 2: Convert to fraction form
    45,724.50/68,586 = 68,586/x
  3. Step 3: Cross multiply
    45,724.50x = 68,586 × 68,586
  4. Step 4: Simplify right side
    45,724.50x = 4,704,039,396
  5. Step 5: Solve for x
    x = 4,704,039,396/45,724.50
  6. Step 6: Final answer
    x = 102,877.88

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.