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Finding the Third Proportional to 26,142.75 and 57,296.25

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Solution

The third proportional to 26,142.75 and 57,296.25 is: 125,574.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,142.75 : 57,296.25 = 57,296.25 : x
  2. Step 2: Convert to fraction form
    26,142.75/57,296.25 = 57,296.25/x
  3. Step 3: Cross multiply
    26,142.75x = 57,296.25 × 57,296.25
  4. Step 4: Simplify right side
    26,142.75x = 3,282,860,264.06
  5. Step 5: Solve for x
    x = 3,282,860,264.06/26,142.75
  6. Step 6: Final answer
    x = 125,574.40

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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.