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Finding the Third Proportional to 58,584 and 80,559

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Solution

The third proportional to 58,584 and 80,559 is: 110,776.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,584 : 80,559 = 80,559 : x
  2. Step 2: Convert to fraction form
    58,584/80,559 = 80,559/x
  3. Step 3: Cross multiply
    58,584x = 80,559 × 80,559
  4. Step 4: Simplify right side
    58,584x = 6,489,752,481
  5. Step 5: Solve for x
    x = 6,489,752,481/58,584
  6. Step 6: Final answer
    x = 110,776.88

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.