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Finding the Third Proportional to 52,590 and 75,591

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Solution

The third proportional to 52,590 and 75,591 is: 108,651.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,590 : 75,591 = 75,591 : x
  2. Step 2: Convert to fraction form
    52,590/75,591 = 75,591/x
  3. Step 3: Cross multiply
    52,590x = 75,591 × 75,591
  4. Step 4: Simplify right side
    52,590x = 5,713,999,281
  5. Step 5: Solve for x
    x = 5,713,999,281/52,590
  6. Step 6: Final answer
    x = 108,651.82

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.