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Finding the Third Proportional to 9,801 and 14,931

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Solution

The third proportional to 9,801 and 14,931 is: 22,746.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,801 : 14,931 = 14,931 : x
  2. Step 2: Convert to fraction form
    9,801/14,931 = 14,931/x
  3. Step 3: Cross multiply
    9,801x = 14,931 × 14,931
  4. Step 4: Simplify right side
    9,801x = 222,934,761
  5. Step 5: Solve for x
    x = 222,934,761/9,801
  6. Step 6: Final answer
    x = 22,746.12

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.