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Finding the Third Proportional to 26,275.13 and 37,772.44

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Solution

The third proportional to 26,275.13 and 37,772.44 is: 54,300.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,275.13 : 37,772.44 = 37,772.44 : x
  2. Step 2: Convert to fraction form
    26,275.13/37,772.44 = 37,772.44/x
  3. Step 3: Cross multiply
    26,275.13x = 37,772.44 × 37,772.44
  4. Step 4: Simplify right side
    26,275.13x = 1,426,757,034.69
  5. Step 5: Solve for x
    x = 1,426,757,034.69/26,275.13
  6. Step 6: Final answer
    x = 54,300.68

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.