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Finding the Third Proportional to 15,952 and 34,912

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Solution

The third proportional to 15,952 and 34,912 is: 76,407.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,952 : 34,912 = 34,912 : x
  2. Step 2: Convert to fraction form
    15,952/34,912 = 34,912/x
  3. Step 3: Cross multiply
    15,952x = 34,912 × 34,912
  4. Step 4: Simplify right side
    15,952x = 1,218,847,744
  5. Step 5: Solve for x
    x = 1,218,847,744/15,952
  6. Step 6: Final answer
    x = 76,407.21

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.