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Finding the Third Proportional to 15,548 and 32,614

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Solution

The third proportional to 15,548 and 32,614 is: 68,412.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,548 : 32,614 = 32,614 : x
  2. Step 2: Convert to fraction form
    15,548/32,614 = 32,614/x
  3. Step 3: Cross multiply
    15,548x = 32,614 × 32,614
  4. Step 4: Simplify right side
    15,548x = 1,063,672,996
  5. Step 5: Solve for x
    x = 1,063,672,996/15,548
  6. Step 6: Final answer
    x = 68,412.21

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.