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Finding the Third Proportional to 22,454 and 34,617

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Solution

The third proportional to 22,454 and 34,617 is: 53,368.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,454 : 34,617 = 34,617 : x
  2. Step 2: Convert to fraction form
    22,454/34,617 = 34,617/x
  3. Step 3: Cross multiply
    22,454x = 34,617 × 34,617
  4. Step 4: Simplify right side
    22,454x = 1,198,336,689
  5. Step 5: Solve for x
    x = 1,198,336,689/22,454
  6. Step 6: Final answer
    x = 53,368.52

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.