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Finding the Third Proportional to 24,690 and 52,620

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Solution

The third proportional to 24,690 and 52,620 is: 112,145.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,690 : 52,620 = 52,620 : x
  2. Step 2: Convert to fraction form
    24,690/52,620 = 52,620/x
  3. Step 3: Cross multiply
    24,690x = 52,620 × 52,620
  4. Step 4: Simplify right side
    24,690x = 2,768,864,400
  5. Step 5: Solve for x
    x = 2,768,864,400/24,690
  6. Step 6: Final answer
    x = 112,145.18

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.