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Finding the Third Proportional to 9,658 and 15,838

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Solution

The third proportional to 9,658 and 15,838 is: 25,972.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,658 : 15,838 = 15,838 : x
  2. Step 2: Convert to fraction form
    9,658/15,838 = 15,838/x
  3. Step 3: Cross multiply
    9,658x = 15,838 × 15,838
  4. Step 4: Simplify right side
    9,658x = 250,842,244
  5. Step 5: Solve for x
    x = 250,842,244/9,658
  6. Step 6: Final answer
    x = 25,972.48

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Why These Related Problems?

These problems maintain the same ratio (1.64) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.