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Finding the Third Proportional to 15,496 and 34,436

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Solution

The third proportional to 15,496 and 34,436 is: 76,525.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,496 : 34,436 = 34,436 : x
  2. Step 2: Convert to fraction form
    15,496/34,436 = 34,436/x
  3. Step 3: Cross multiply
    15,496x = 34,436 × 34,436
  4. Step 4: Simplify right side
    15,496x = 1,185,838,096
  5. Step 5: Solve for x
    x = 1,185,838,096/15,496
  6. Step 6: Final answer
    x = 76,525.43

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.