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Finding the Third Proportional to 22,656 and 34,368

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Solution

The third proportional to 22,656 and 34,368 is: 52,134.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,656 : 34,368 = 34,368 : x
  2. Step 2: Convert to fraction form
    22,656/34,368 = 34,368/x
  3. Step 3: Cross multiply
    22,656x = 34,368 × 34,368
  4. Step 4: Simplify right side
    22,656x = 1,181,159,424
  5. Step 5: Solve for x
    x = 1,181,159,424/22,656
  6. Step 6: Final answer
    x = 52,134.51

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.