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Finding the Third Proportional to 15,900 and 34,535

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Solution

The third proportional to 15,900 and 34,535 is: 75,010.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,900 : 34,535 = 34,535 : x
  2. Step 2: Convert to fraction form
    15,900/34,535 = 34,535/x
  3. Step 3: Cross multiply
    15,900x = 34,535 × 34,535
  4. Step 4: Simplify right side
    15,900x = 1,192,666,225
  5. Step 5: Solve for x
    x = 1,192,666,225/15,900
  6. Step 6: Final answer
    x = 75,010.45

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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.