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Finding the Third Proportional to 13,327 and 28,597

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Solution

The third proportional to 13,327 and 28,597 is: 61,363.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,327 : 28,597 = 28,597 : x
  2. Step 2: Convert to fraction form
    13,327/28,597 = 28,597/x
  3. Step 3: Cross multiply
    13,327x = 28,597 × 28,597
  4. Step 4: Simplify right side
    13,327x = 817,788,409
  5. Step 5: Solve for x
    x = 817,788,409/13,327
  6. Step 6: Final answer
    x = 61,363.28

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.