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Finding the Third Proportional to 15,700 and 34,100

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Solution

The third proportional to 15,700 and 34,100 is: 74,064.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,700 : 34,100 = 34,100 : x
  2. Step 2: Convert to fraction form
    15,700/34,100 = 34,100/x
  3. Step 3: Cross multiply
    15,700x = 34,100 × 34,100
  4. Step 4: Simplify right side
    15,700x = 1,162,810,000
  5. Step 5: Solve for x
    x = 1,162,810,000/15,700
  6. Step 6: Final answer
    x = 74,064.33

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.