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Finding the Third Proportional to 24,315 and 36,498

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Solution

The third proportional to 24,315 and 36,498 is: 54,785.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,315 : 36,498 = 36,498 : x
  2. Step 2: Convert to fraction form
    24,315/36,498 = 36,498/x
  3. Step 3: Cross multiply
    24,315x = 36,498 × 36,498
  4. Step 4: Simplify right side
    24,315x = 1,332,104,004
  5. Step 5: Solve for x
    x = 1,332,104,004/24,315
  6. Step 6: Final answer
    x = 54,785.28

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.