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Finding the Third Proportional to 35,354 and 51,127

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Solution

The third proportional to 35,354 and 51,127 is: 73,937.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,354 : 51,127 = 51,127 : x
  2. Step 2: Convert to fraction form
    35,354/51,127 = 51,127/x
  3. Step 3: Cross multiply
    35,354x = 51,127 × 51,127
  4. Step 4: Simplify right side
    35,354x = 2,613,970,129
  5. Step 5: Solve for x
    x = 2,613,970,129/35,354
  6. Step 6: Final answer
    x = 73,937.04

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.