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Finding the Third Proportional to 35,002.13 and 53,151.19

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Solution

The third proportional to 35,002.13 and 53,151.19 is: 80,710.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,002.13 : 53,151.19 = 53,151.19 : x
  2. Step 2: Convert to fraction form
    35,002.13/53,151.19 = 53,151.19/x
  3. Step 3: Cross multiply
    35,002.13x = 53,151.19 × 53,151.19
  4. Step 4: Simplify right side
    35,002.13x = 2,825,048,732.66
  5. Step 5: Solve for x
    x = 2,825,048,732.66/35,002.13
  6. Step 6: Final answer
    x = 80,710.78

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.