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Finding the Third Proportional to 48,732.75 and 77,535

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Solution

The third proportional to 48,732.75 and 77,535 is: 123,360.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,732.75 : 77,535 = 77,535 : x
  2. Step 2: Convert to fraction form
    48,732.75/77,535 = 77,535/x
  3. Step 3: Cross multiply
    48,732.75x = 77,535 × 77,535
  4. Step 4: Simplify right side
    48,732.75x = 6,011,676,225
  5. Step 5: Solve for x
    x = 6,011,676,225/48,732.75
  6. Step 6: Final answer
    x = 123,360.09

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.