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Finding the Third Proportional to 26,115 and 56,442

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Solution

The third proportional to 26,115 and 56,442 is: 121,987.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,115 : 56,442 = 56,442 : x
  2. Step 2: Convert to fraction form
    26,115/56,442 = 56,442/x
  3. Step 3: Cross multiply
    26,115x = 56,442 × 56,442
  4. Step 4: Simplify right side
    26,115x = 3,185,699,364
  5. Step 5: Solve for x
    x = 3,185,699,364/26,115
  6. Step 6: Final answer
    x = 121,987.34

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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.