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Finding the Third Proportional to 13,934 and 21,585

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Solution

The third proportional to 13,934 and 21,585 is: 33,437.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,934 : 21,585 = 21,585 : x
  2. Step 2: Convert to fraction form
    13,934/21,585 = 21,585/x
  3. Step 3: Cross multiply
    13,934x = 21,585 × 21,585
  4. Step 4: Simplify right side
    13,934x = 465,912,225
  5. Step 5: Solve for x
    x = 465,912,225/13,934
  6. Step 6: Final answer
    x = 33,437.08

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.