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Finding the Third Proportional to 24,100 and 52,309

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Solution

The third proportional to 24,100 and 52,309 is: 113,536.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,100 : 52,309 = 52,309 : x
  2. Step 2: Convert to fraction form
    24,100/52,309 = 52,309/x
  3. Step 3: Cross multiply
    24,100x = 52,309 × 52,309
  4. Step 4: Simplify right side
    24,100x = 2,736,231,481
  5. Step 5: Solve for x
    x = 2,736,231,481/24,100
  6. Step 6: Final answer
    x = 113,536.58

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.