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Finding the Third Proportional to 23,000 and 34,712

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Solution

The third proportional to 23,000 and 34,712 is: 52,387.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,000 : 34,712 = 34,712 : x
  2. Step 2: Convert to fraction form
    23,000/34,712 = 34,712/x
  3. Step 3: Cross multiply
    23,000x = 34,712 × 34,712
  4. Step 4: Simplify right side
    23,000x = 1,204,922,944
  5. Step 5: Solve for x
    x = 1,204,922,944/23,000
  6. Step 6: Final answer
    x = 52,387.95

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.