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Finding the Third Proportional to 43,669 and 61,479

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Solution

The third proportional to 43,669 and 61,479 is: 86,552.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,669 : 61,479 = 61,479 : x
  2. Step 2: Convert to fraction form
    43,669/61,479 = 61,479/x
  3. Step 3: Cross multiply
    43,669x = 61,479 × 61,479
  4. Step 4: Simplify right side
    43,669x = 3,779,667,441
  5. Step 5: Solve for x
    x = 3,779,667,441/43,669
  6. Step 6: Final answer
    x = 86,552.64

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.