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Finding the Third Proportional to 26,306 and 56,988

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Solution

The third proportional to 26,306 and 56,988 is: 123,455.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,306 : 56,988 = 56,988 : x
  2. Step 2: Convert to fraction form
    26,306/56,988 = 56,988/x
  3. Step 3: Cross multiply
    26,306x = 56,988 × 56,988
  4. Step 4: Simplify right side
    26,306x = 3,247,632,144
  5. Step 5: Solve for x
    x = 3,247,632,144/26,306
  6. Step 6: Final answer
    x = 123,455.95

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.