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Finding the Third Proportional to 15,079.50 and 24,378.75

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Solution

The third proportional to 15,079.50 and 24,378.75 is: 39,412.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,079.50 : 24,378.75 = 24,378.75 : x
  2. Step 2: Convert to fraction form
    15,079.50/24,378.75 = 24,378.75/x
  3. Step 3: Cross multiply
    15,079.50x = 24,378.75 × 24,378.75
  4. Step 4: Simplify right side
    15,079.50x = 594,323,451.56
  5. Step 5: Solve for x
    x = 594,323,451.56/15,079.50
  6. Step 6: Final answer
    x = 39,412.68

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.62) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.