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Finding the Third Proportional to 26,068 and 56,791

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Solution

The third proportional to 26,068 and 56,791 is: 123,723.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,068 : 56,791 = 56,791 : x
  2. Step 2: Convert to fraction form
    26,068/56,791 = 56,791/x
  3. Step 3: Cross multiply
    26,068x = 56,791 × 56,791
  4. Step 4: Simplify right side
    26,068x = 3,225,217,681
  5. Step 5: Solve for x
    x = 3,225,217,681/26,068
  6. Step 6: Final answer
    x = 123,723.25

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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.