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Finding the Third Proportional to 48,008.50 and 74,731

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Solution

The third proportional to 48,008.50 and 74,731 is: 116,327.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,008.50 : 74,731 = 74,731 : x
  2. Step 2: Convert to fraction form
    48,008.50/74,731 = 74,731/x
  3. Step 3: Cross multiply
    48,008.50x = 74,731 × 74,731
  4. Step 4: Simplify right side
    48,008.50x = 5,584,722,361
  5. Step 5: Solve for x
    x = 5,584,722,361/48,008.50
  6. Step 6: Final answer
    x = 116,327.78

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.