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Finding the Third Proportional to 24,720 and 31,320

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Solution

The third proportional to 24,720 and 31,320 is: 39,682.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,720 : 31,320 = 31,320 : x
  2. Step 2: Convert to fraction form
    24,720/31,320 = 31,320/x
  3. Step 3: Cross multiply
    24,720x = 31,320 × 31,320
  4. Step 4: Simplify right side
    24,720x = 980,942,400
  5. Step 5: Solve for x
    x = 980,942,400/24,720
  6. Step 6: Final answer
    x = 39,682.14

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Why These Related Problems?

These problems maintain the same ratio (1.27) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.