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Finding the Third Proportional to 26,748 and 57,444.75

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Solution

The third proportional to 26,748 and 57,444.75 is: 123,369.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,748 : 57,444.75 = 57,444.75 : x
  2. Step 2: Convert to fraction form
    26,748/57,444.75 = 57,444.75/x
  3. Step 3: Cross multiply
    26,748x = 57,444.75 × 57,444.75
  4. Step 4: Simplify right side
    26,748x = 3,299,899,302.56
  5. Step 5: Solve for x
    x = 3,299,899,302.56/26,748
  6. Step 6: Final answer
    x = 123,369.95

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.