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Finding the Third Proportional to 12,591 and 29,182.50

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Solution

The third proportional to 12,591 and 29,182.50 is: 67,637.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,591 : 29,182.50 = 29,182.50 : x
  2. Step 2: Convert to fraction form
    12,591/29,182.50 = 29,182.50/x
  3. Step 3: Cross multiply
    12,591x = 29,182.50 × 29,182.50
  4. Step 4: Simplify right side
    12,591x = 851,618,306.25
  5. Step 5: Solve for x
    x = 851,618,306.25/12,591
  6. Step 6: Final answer
    x = 67,637.07

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.