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Finding the Third Proportional to 26,184 and 56,578

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Solution

The third proportional to 26,184 and 56,578 is: 122,252.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,184 : 56,578 = 56,578 : x
  2. Step 2: Convert to fraction form
    26,184/56,578 = 56,578/x
  3. Step 3: Cross multiply
    26,184x = 56,578 × 56,578
  4. Step 4: Simplify right side
    26,184x = 3,201,070,084
  5. Step 5: Solve for x
    x = 3,201,070,084/26,184
  6. Step 6: Final answer
    x = 122,252.91

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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.