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Finding the Third Proportional to 15,966 and 25,353

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Solution

The third proportional to 15,966 and 25,353 is: 40,258.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,966 : 25,353 = 25,353 : x
  2. Step 2: Convert to fraction form
    15,966/25,353 = 25,353/x
  3. Step 3: Cross multiply
    15,966x = 25,353 × 25,353
  4. Step 4: Simplify right side
    15,966x = 642,774,609
  5. Step 5: Solve for x
    x = 642,774,609/15,966
  6. Step 6: Final answer
    x = 40,258.96

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.