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Finding the Third Proportional to 49,459.50 and 75,435

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Solution

The third proportional to 49,459.50 and 75,435 is: 115,052.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,459.50 : 75,435 = 75,435 : x
  2. Step 2: Convert to fraction form
    49,459.50/75,435 = 75,435/x
  3. Step 3: Cross multiply
    49,459.50x = 75,435 × 75,435
  4. Step 4: Simplify right side
    49,459.50x = 5,690,439,225
  5. Step 5: Solve for x
    x = 5,690,439,225/49,459.50
  6. Step 6: Final answer
    x = 115,052.50

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.