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Finding the Third Proportional to 35,492 and 59,149

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Solution

The third proportional to 35,492 and 59,149 is: 98,574.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,492 : 59,149 = 59,149 : x
  2. Step 2: Convert to fraction form
    35,492/59,149 = 59,149/x
  3. Step 3: Cross multiply
    35,492x = 59,149 × 59,149
  4. Step 4: Simplify right side
    35,492x = 3,498,604,201
  5. Step 5: Solve for x
    x = 3,498,604,201/35,492
  6. Step 6: Final answer
    x = 98,574.44

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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.