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Finding the Third Proportional to 23,718 and 52,686.75

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Solution

The third proportional to 23,718 and 52,686.75 is: 117,037.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,718 : 52,686.75 = 52,686.75 : x
  2. Step 2: Convert to fraction form
    23,718/52,686.75 = 52,686.75/x
  3. Step 3: Cross multiply
    23,718x = 52,686.75 × 52,686.75
  4. Step 4: Simplify right side
    23,718x = 2,775,893,625.56
  5. Step 5: Solve for x
    x = 2,775,893,625.56/23,718
  6. Step 6: Final answer
    x = 117,037.42

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.