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Finding the Third Proportional to 15,785 and 34,000

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Solution

The third proportional to 15,785 and 34,000 is: 73,234.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,785 : 34,000 = 34,000 : x
  2. Step 2: Convert to fraction form
    15,785/34,000 = 34,000/x
  3. Step 3: Cross multiply
    15,785x = 34,000 × 34,000
  4. Step 4: Simplify right side
    15,785x = 1,156,000,000
  5. Step 5: Solve for x
    x = 1,156,000,000/15,785
  6. Step 6: Final answer
    x = 73,234.08

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.