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Finding the Third Proportional to 26,834.25 and 39,430.31

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Solution

The third proportional to 26,834.25 and 39,430.31 is: 57,939.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,834.25 : 39,430.31 = 39,430.31 : x
  2. Step 2: Convert to fraction form
    26,834.25/39,430.31 = 39,430.31/x
  3. Step 3: Cross multiply
    26,834.25x = 39,430.31 × 39,430.31
  4. Step 4: Simplify right side
    26,834.25x = 1,554,749,543.85
  5. Step 5: Solve for x
    x = 1,554,749,543.85/26,834.25
  6. Step 6: Final answer
    x = 57,939.00

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.