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Finding the Third Proportional to 10,657 and 15,986

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Solution

The third proportional to 10,657 and 15,986 is: 23,979.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,657 : 15,986 = 15,986 : x
  2. Step 2: Convert to fraction form
    10,657/15,986 = 15,986/x
  3. Step 3: Cross multiply
    10,657x = 15,986 × 15,986
  4. Step 4: Simplify right side
    10,657x = 255,552,196
  5. Step 5: Solve for x
    x = 255,552,196/10,657
  6. Step 6: Final answer
    x = 23,979.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.