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Finding the Third Proportional to 10,377 and 22,407

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Solution

The third proportional to 10,377 and 22,407 is: 48,383.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,377 : 22,407 = 22,407 : x
  2. Step 2: Convert to fraction form
    10,377/22,407 = 22,407/x
  3. Step 3: Cross multiply
    10,377x = 22,407 × 22,407
  4. Step 4: Simplify right side
    10,377x = 502,073,649
  5. Step 5: Solve for x
    x = 502,073,649/10,377
  6. Step 6: Final answer
    x = 48,383.31

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.