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Finding the Third Proportional to 35,522 and 59,197

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Solution

The third proportional to 35,522 and 59,197 is: 98,651.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,522 : 59,197 = 59,197 : x
  2. Step 2: Convert to fraction form
    35,522/59,197 = 59,197/x
  3. Step 3: Cross multiply
    35,522x = 59,197 × 59,197
  4. Step 4: Simplify right side
    35,522x = 3,504,284,809
  5. Step 5: Solve for x
    x = 3,504,284,809/35,522
  6. Step 6: Final answer
    x = 98,651.11

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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.