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Finding the Third Proportional to 35,983.13 and 78,517.13

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Solution

The third proportional to 35,983.13 and 78,517.13 is: 171,328.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,983.13 : 78,517.13 = 78,517.13 : x
  2. Step 2: Convert to fraction form
    35,983.13/78,517.13 = 78,517.13/x
  3. Step 3: Cross multiply
    35,983.13x = 78,517.13 × 78,517.13
  4. Step 4: Simplify right side
    35,983.13x = 6,164,938,918.27
  5. Step 5: Solve for x
    x = 6,164,938,918.27/35,983.13
  6. Step 6: Final answer
    x = 171,328.61

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.