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Finding the Third Proportional to 9,965 and 15,420

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Solution

The third proportional to 9,965 and 15,420 is: 23,861.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,965 : 15,420 = 15,420 : x
  2. Step 2: Convert to fraction form
    9,965/15,420 = 15,420/x
  3. Step 3: Cross multiply
    9,965x = 15,420 × 15,420
  4. Step 4: Simplify right side
    9,965x = 237,776,400
  5. Step 5: Solve for x
    x = 237,776,400/9,965
  6. Step 6: Final answer
    x = 23,861.15

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.