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Finding the Third Proportional to 9,964 and 15,894

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Solution

The third proportional to 9,964 and 15,894 is: 25,353.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,964 : 15,894 = 15,894 : x
  2. Step 2: Convert to fraction form
    9,964/15,894 = 15,894/x
  3. Step 3: Cross multiply
    9,964x = 15,894 × 15,894
  4. Step 4: Simplify right side
    9,964x = 252,619,236
  5. Step 5: Solve for x
    x = 252,619,236/9,964
  6. Step 6: Final answer
    x = 25,353.20

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.