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Finding the Third Proportional to 27,102.09 and 43,117.31

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Solution

The third proportional to 27,102.09 and 43,117.31 is: 68,596.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,102.09 : 43,117.31 = 43,117.31 : x
  2. Step 2: Convert to fraction form
    27,102.09/43,117.31 = 43,117.31/x
  3. Step 3: Cross multiply
    27,102.09x = 43,117.31 × 43,117.31
  4. Step 4: Simplify right side
    27,102.09x = 1,859,102,637.22
  5. Step 5: Solve for x
    x = 1,859,102,637.22/27,102.09
  6. Step 6: Final answer
    x = 68,596.27

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.