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Finding the Third Proportional to 10,464 and 22,656

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Solution

The third proportional to 10,464 and 22,656 is: 49,053.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,464 : 22,656 = 22,656 : x
  2. Step 2: Convert to fraction form
    10,464/22,656 = 22,656/x
  3. Step 3: Cross multiply
    10,464x = 22,656 × 22,656
  4. Step 4: Simplify right side
    10,464x = 513,294,336
  5. Step 5: Solve for x
    x = 513,294,336/10,464
  6. Step 6: Final answer
    x = 49,053.36

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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.