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Finding the Third Proportional to 23,657 and 51,514

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Solution

The third proportional to 23,657 and 51,514 is: 112,173.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,657 : 51,514 = 51,514 : x
  2. Step 2: Convert to fraction form
    23,657/51,514 = 51,514/x
  3. Step 3: Cross multiply
    23,657x = 51,514 × 51,514
  4. Step 4: Simplify right side
    23,657x = 2,653,692,196
  5. Step 5: Solve for x
    x = 2,653,692,196/23,657
  6. Step 6: Final answer
    x = 112,173.66

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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.