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Finding the Third Proportional to 22,640 and 29,584

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Solution

The third proportional to 22,640 and 29,584 is: 38,657.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,640 : 29,584 = 29,584 : x
  2. Step 2: Convert to fraction form
    22,640/29,584 = 29,584/x
  3. Step 3: Cross multiply
    22,640x = 29,584 × 29,584
  4. Step 4: Simplify right side
    22,640x = 875,213,056
  5. Step 5: Solve for x
    x = 875,213,056/22,640
  6. Step 6: Final answer
    x = 38,657.82

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.