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Finding the Third Proportional to 24,165 and 49,013

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Solution

The third proportional to 24,165 and 49,013 is: 99,411.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,165 : 49,013 = 49,013 : x
  2. Step 2: Convert to fraction form
    24,165/49,013 = 49,013/x
  3. Step 3: Cross multiply
    24,165x = 49,013 × 49,013
  4. Step 4: Simplify right side
    24,165x = 2,402,274,169
  5. Step 5: Solve for x
    x = 2,402,274,169/24,165
  6. Step 6: Final answer
    x = 99,411.30

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.