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Finding the Third Proportional to 12,924 and 20,498

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Solution

The third proportional to 12,924 and 20,498 is: 32,510.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,924 : 20,498 = 20,498 : x
  2. Step 2: Convert to fraction form
    12,924/20,498 = 20,498/x
  3. Step 3: Cross multiply
    12,924x = 20,498 × 20,498
  4. Step 4: Simplify right side
    12,924x = 420,168,004
  5. Step 5: Solve for x
    x = 420,168,004/12,924
  6. Step 6: Final answer
    x = 32,510.68

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.