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Finding the Third Proportional to 35,515.50 and 76,566

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Solution

The third proportional to 35,515.50 and 76,566 is: 165,064.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,515.50 : 76,566 = 76,566 : x
  2. Step 2: Convert to fraction form
    35,515.50/76,566 = 76,566/x
  3. Step 3: Cross multiply
    35,515.50x = 76,566 × 76,566
  4. Step 4: Simplify right side
    35,515.50x = 5,862,352,356
  5. Step 5: Solve for x
    x = 5,862,352,356/35,515.50
  6. Step 6: Final answer
    x = 165,064.62

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.