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Finding the Third Proportional to 11,464 and 22,640

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Solution

The third proportional to 11,464 and 22,640 is: 44,711.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,464 : 22,640 = 22,640 : x
  2. Step 2: Convert to fraction form
    11,464/22,640 = 22,640/x
  3. Step 3: Cross multiply
    11,464x = 22,640 × 22,640
  4. Step 4: Simplify right side
    11,464x = 512,569,600
  5. Step 5: Solve for x
    x = 512,569,600/11,464
  6. Step 6: Final answer
    x = 44,711.24

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.