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Finding the Third Proportional to 26,200.13 and 39,376.13

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Solution

The third proportional to 26,200.13 and 39,376.13 is: 59,178.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,200.13 : 39,376.13 = 39,376.13 : x
  2. Step 2: Convert to fraction form
    26,200.13/39,376.13 = 39,376.13/x
  3. Step 3: Cross multiply
    26,200.13x = 39,376.13 × 39,376.13
  4. Step 4: Simplify right side
    26,200.13x = 1,550,479,220.02
  5. Step 5: Solve for x
    x = 1,550,479,220.02/26,200.13
  6. Step 6: Final answer
    x = 59,178.31

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.