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Finding the Third Proportional to 34,840.13 and 39,943.13

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Solution

The third proportional to 34,840.13 and 39,943.13 is: 45,793.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,840.13 : 39,943.13 = 39,943.13 : x
  2. Step 2: Convert to fraction form
    34,840.13/39,943.13 = 39,943.13/x
  3. Step 3: Cross multiply
    34,840.13x = 39,943.13 × 39,943.13
  4. Step 4: Simplify right side
    34,840.13x = 1,595,453,234.77
  5. Step 5: Solve for x
    x = 1,595,453,234.77/34,840.13
  6. Step 6: Final answer
    x = 45,793.56

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Why These Related Problems?

These problems maintain the same ratio (1.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.