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Finding the Third Proportional to 26,977.13 and 42,319.25

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Solution

The third proportional to 26,977.13 and 42,319.25 is: 66,386.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,977.13 : 42,319.25 = 42,319.25 : x
  2. Step 2: Convert to fraction form
    26,977.13/42,319.25 = 42,319.25/x
  3. Step 3: Cross multiply
    26,977.13x = 42,319.25 × 42,319.25
  4. Step 4: Simplify right side
    26,977.13x = 1,790,918,920.56
  5. Step 5: Solve for x
    x = 1,790,918,920.56/26,977.13
  6. Step 6: Final answer
    x = 66,386.57

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.