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Finding the Third Proportional to 35,482 and 59,134

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Solution

The third proportional to 35,482 and 59,134 is: 98,552.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,482 : 59,134 = 59,134 : x
  2. Step 2: Convert to fraction form
    35,482/59,134 = 59,134/x
  3. Step 3: Cross multiply
    35,482x = 59,134 × 59,134
  4. Step 4: Simplify right side
    35,482x = 3,496,829,956
  5. Step 5: Solve for x
    x = 3,496,829,956/35,482
  6. Step 6: Final answer
    x = 98,552.22

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.