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Finding the Third Proportional to 44,416.50 and 57,624

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Solution

The third proportional to 44,416.50 and 57,624 is: 74,758.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,416.50 : 57,624 = 57,624 : x
  2. Step 2: Convert to fraction form
    44,416.50/57,624 = 57,624/x
  3. Step 3: Cross multiply
    44,416.50x = 57,624 × 57,624
  4. Step 4: Simplify right side
    44,416.50x = 3,320,525,376
  5. Step 5: Solve for x
    x = 3,320,525,376/44,416.50
  6. Step 6: Final answer
    x = 74,758.83

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Why These Related Problems?

These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.