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Finding the Third Proportional to 26,116 and 47,048

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Solution

The third proportional to 26,116 and 47,048 is: 84,757.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,116 : 47,048 = 47,048 : x
  2. Step 2: Convert to fraction form
    26,116/47,048 = 47,048/x
  3. Step 3: Cross multiply
    26,116x = 47,048 × 47,048
  4. Step 4: Simplify right side
    26,116x = 2,213,514,304
  5. Step 5: Solve for x
    x = 2,213,514,304/26,116
  6. Step 6: Final answer
    x = 84,757.02

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Why These Related Problems?

These problems maintain the same ratio (1.80) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.