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Finding the Third Proportional to 21,585 and 29,164

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Solution

The third proportional to 21,585 and 29,164 is: 39,404.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,585 : 29,164 = 29,164 : x
  2. Step 2: Convert to fraction form
    21,585/29,164 = 29,164/x
  3. Step 3: Cross multiply
    21,585x = 29,164 × 29,164
  4. Step 4: Simplify right side
    21,585x = 850,538,896
  5. Step 5: Solve for x
    x = 850,538,896/21,585
  6. Step 6: Final answer
    x = 39,404.16

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.