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Finding the Third Proportional to 20,472 and 24,117

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Solution

The third proportional to 20,472 and 24,117 is: 28,410.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,472 : 24,117 = 24,117 : x
  2. Step 2: Convert to fraction form
    20,472/24,117 = 24,117/x
  3. Step 3: Cross multiply
    20,472x = 24,117 × 24,117
  4. Step 4: Simplify right side
    20,472x = 581,629,689
  5. Step 5: Solve for x
    x = 581,629,689/20,472
  6. Step 6: Final answer
    x = 28,410.99

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.