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Finding the Third Proportional to 15,098 and 35,524.75

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Solution

The third proportional to 15,098 and 35,524.75 is: 83,587.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,098 : 35,524.75 = 35,524.75 : x
  2. Step 2: Convert to fraction form
    15,098/35,524.75 = 35,524.75/x
  3. Step 3: Cross multiply
    15,098x = 35,524.75 × 35,524.75
  4. Step 4: Simplify right side
    15,098x = 1,262,007,862.56
  5. Step 5: Solve for x
    x = 1,262,007,862.56/15,098
  6. Step 6: Final answer
    x = 83,587.75

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.