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Finding the Third Proportional to 40,895 and 63,151

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Solution

The third proportional to 40,895 and 63,151 is: 97,519.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,895 : 63,151 = 63,151 : x
  2. Step 2: Convert to fraction form
    40,895/63,151 = 63,151/x
  3. Step 3: Cross multiply
    40,895x = 63,151 × 63,151
  4. Step 4: Simplify right side
    40,895x = 3,988,048,801
  5. Step 5: Solve for x
    x = 3,988,048,801/40,895
  6. Step 6: Final answer
    x = 97,519.23

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.