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Finding the Third Proportional to 9,880 and 16,044

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Solution

The third proportional to 9,880 and 16,044 is: 26,053.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,880 : 16,044 = 16,044 : x
  2. Step 2: Convert to fraction form
    9,880/16,044 = 16,044/x
  3. Step 3: Cross multiply
    9,880x = 16,044 × 16,044
  4. Step 4: Simplify right side
    9,880x = 257,409,936
  5. Step 5: Solve for x
    x = 257,409,936/9,880
  6. Step 6: Final answer
    x = 26,053.64

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Why These Related Problems?

These problems maintain the same ratio (1.62) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.