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Finding the Third Proportional to 13,248 and 20,654

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Solution

The third proportional to 13,248 and 20,654 is: 32,200.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,248 : 20,654 = 20,654 : x
  2. Step 2: Convert to fraction form
    13,248/20,654 = 20,654/x
  3. Step 3: Cross multiply
    13,248x = 20,654 × 20,654
  4. Step 4: Simplify right side
    13,248x = 426,587,716
  5. Step 5: Solve for x
    x = 426,587,716/13,248
  6. Step 6: Final answer
    x = 32,200.16

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.