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Finding the Third Proportional to 9,948 and 16,002

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Solution

The third proportional to 9,948 and 16,002 is: 25,740.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,948 : 16,002 = 16,002 : x
  2. Step 2: Convert to fraction form
    9,948/16,002 = 16,002/x
  3. Step 3: Cross multiply
    9,948x = 16,002 × 16,002
  4. Step 4: Simplify right side
    9,948x = 256,064,004
  5. Step 5: Solve for x
    x = 256,064,004/9,948
  6. Step 6: Final answer
    x = 25,740.25

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.