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Finding the Third Proportional to 35,296.66 and 75,711.52

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Solution

The third proportional to 35,296.66 and 75,711.52 is: 162,401.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,296.66 : 75,711.52 = 75,711.52 : x
  2. Step 2: Convert to fraction form
    35,296.66/75,711.52 = 75,711.52/x
  3. Step 3: Cross multiply
    35,296.66x = 75,711.52 × 75,711.52
  4. Step 4: Simplify right side
    35,296.66x = 5,732,233,598.23
  5. Step 5: Solve for x
    x = 5,732,233,598.23/35,296.66
  6. Step 6: Final answer
    x = 162,401.57

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.