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Finding the Third Proportional to 49,572 and 79,801

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Solution

The third proportional to 49,572 and 79,801 is: 128,463.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,572 : 79,801 = 79,801 : x
  2. Step 2: Convert to fraction form
    49,572/79,801 = 79,801/x
  3. Step 3: Cross multiply
    49,572x = 79,801 × 79,801
  4. Step 4: Simplify right side
    49,572x = 6,368,199,601
  5. Step 5: Solve for x
    x = 6,368,199,601/49,572
  6. Step 6: Final answer
    x = 128,463.64

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.