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Finding the Third Proportional to 35,482 and 52,914

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Solution

The third proportional to 35,482 and 52,914 is: 78,910.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,482 : 52,914 = 52,914 : x
  2. Step 2: Convert to fraction form
    35,482/52,914 = 52,914/x
  3. Step 3: Cross multiply
    35,482x = 52,914 × 52,914
  4. Step 4: Simplify right side
    35,482x = 2,799,891,396
  5. Step 5: Solve for x
    x = 2,799,891,396/35,482
  6. Step 6: Final answer
    x = 78,910.19

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.