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Finding the Third Proportional to 26,074 and 56,854

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Solution

The third proportional to 26,074 and 56,854 is: 123,969.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,074 : 56,854 = 56,854 : x
  2. Step 2: Convert to fraction form
    26,074/56,854 = 56,854/x
  3. Step 3: Cross multiply
    26,074x = 56,854 × 56,854
  4. Step 4: Simplify right side
    26,074x = 3,232,377,316
  5. Step 5: Solve for x
    x = 3,232,377,316/26,074
  6. Step 6: Final answer
    x = 123,969.37

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.