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Finding the Third Proportional to 15,902 and 23,367

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Solution

The third proportional to 15,902 and 23,367 is: 34,336.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,902 : 23,367 = 23,367 : x
  2. Step 2: Convert to fraction form
    15,902/23,367 = 23,367/x
  3. Step 3: Cross multiply
    15,902x = 23,367 × 23,367
  4. Step 4: Simplify right side
    15,902x = 546,016,689
  5. Step 5: Solve for x
    x = 546,016,689/15,902
  6. Step 6: Final answer
    x = 34,336.35

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.