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Finding the Third Proportional to 15,703 and 34,132

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Solution

The third proportional to 15,703 and 34,132 is: 74,189.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,703 : 34,132 = 34,132 : x
  2. Step 2: Convert to fraction form
    15,703/34,132 = 34,132/x
  3. Step 3: Cross multiply
    15,703x = 34,132 × 34,132
  4. Step 4: Simplify right side
    15,703x = 1,164,993,424
  5. Step 5: Solve for x
    x = 1,164,993,424/15,703
  6. Step 6: Final answer
    x = 74,189.23

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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.