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Finding the Third Proportional to 9,880 and 15,641

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Solution

The third proportional to 9,880 and 15,641 is: 24,761.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,880 : 15,641 = 15,641 : x
  2. Step 2: Convert to fraction form
    9,880/15,641 = 15,641/x
  3. Step 3: Cross multiply
    9,880x = 15,641 × 15,641
  4. Step 4: Simplify right side
    9,880x = 244,640,881
  5. Step 5: Solve for x
    x = 244,640,881/9,880
  6. Step 6: Final answer
    x = 24,761.22

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.