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Finding the Third Proportional to 10,175 and 22,321

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Solution

The third proportional to 10,175 and 22,321 is: 48,965.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,175 : 22,321 = 22,321 : x
  2. Step 2: Convert to fraction form
    10,175/22,321 = 22,321/x
  3. Step 3: Cross multiply
    10,175x = 22,321 × 22,321
  4. Step 4: Simplify right side
    10,175x = 498,227,041
  5. Step 5: Solve for x
    x = 498,227,041/10,175
  6. Step 6: Final answer
    x = 48,965.80

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.