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Finding the Third Proportional to 26,719.50 and 57,720.75

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Solution

The third proportional to 26,719.50 and 57,720.75 is: 124,691.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,719.50 : 57,720.75 = 57,720.75 : x
  2. Step 2: Convert to fraction form
    26,719.50/57,720.75 = 57,720.75/x
  3. Step 3: Cross multiply
    26,719.50x = 57,720.75 × 57,720.75
  4. Step 4: Simplify right side
    26,719.50x = 3,331,684,980.56
  5. Step 5: Solve for x
    x = 3,331,684,980.56/26,719.50
  6. Step 6: Final answer
    x = 124,691.14

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.