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Finding the Third Proportional to 24,290 and 51,516

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Solution

The third proportional to 24,290 and 51,516 is: 109,258.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,290 : 51,516 = 51,516 : x
  2. Step 2: Convert to fraction form
    24,290/51,516 = 51,516/x
  3. Step 3: Cross multiply
    24,290x = 51,516 × 51,516
  4. Step 4: Simplify right side
    24,290x = 2,653,898,256
  5. Step 5: Solve for x
    x = 2,653,898,256/24,290
  6. Step 6: Final answer
    x = 109,258.88

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.