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Finding the Third Proportional to 11,415 and 24,442

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Solution

The third proportional to 11,415 and 24,442 is: 52,335.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,415 : 24,442 = 24,442 : x
  2. Step 2: Convert to fraction form
    11,415/24,442 = 24,442/x
  3. Step 3: Cross multiply
    11,415x = 24,442 × 24,442
  4. Step 4: Simplify right side
    11,415x = 597,411,364
  5. Step 5: Solve for x
    x = 597,411,364/11,415
  6. Step 6: Final answer
    x = 52,335.64

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.