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Finding the Third Proportional to 26,145.56 and 57,281.06

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Solution

The third proportional to 26,145.56 and 57,281.06 is: 125,494.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,145.56 : 57,281.06 = 57,281.06 : x
  2. Step 2: Convert to fraction form
    26,145.56/57,281.06 = 57,281.06/x
  3. Step 3: Cross multiply
    26,145.56x = 57,281.06 × 57,281.06
  4. Step 4: Simplify right side
    26,145.56x = 3,281,120,121.13
  5. Step 5: Solve for x
    x = 3,281,120,121.13/26,145.56
  6. Step 6: Final answer
    x = 125,494.34

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.