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Finding the Third Proportional to 11,358 and 24,102

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Solution

The third proportional to 11,358 and 24,102 is: 51,145.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,358 : 24,102 = 24,102 : x
  2. Step 2: Convert to fraction form
    11,358/24,102 = 24,102/x
  3. Step 3: Cross multiply
    11,358x = 24,102 × 24,102
  4. Step 4: Simplify right side
    11,358x = 580,906,404
  5. Step 5: Solve for x
    x = 580,906,404/11,358
  6. Step 6: Final answer
    x = 51,145.13

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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.