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Finding the Third Proportional to 31,054.13 and 43,899.19

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Solution

The third proportional to 31,054.13 and 43,899.19 is: 62,057.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,054.13 : 43,899.19 = 43,899.19 : x
  2. Step 2: Convert to fraction form
    31,054.13/43,899.19 = 43,899.19/x
  3. Step 3: Cross multiply
    31,054.13x = 43,899.19 × 43,899.19
  4. Step 4: Simplify right side
    31,054.13x = 1,927,138,663.16
  5. Step 5: Solve for x
    x = 1,927,138,663.16/31,054.13
  6. Step 6: Final answer
    x = 62,057.41

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.