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Finding the Third Proportional to 35,712 and 50,229

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Solution

The third proportional to 35,712 and 50,229 is: 70,647.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,712 : 50,229 = 50,229 : x
  2. Step 2: Convert to fraction form
    35,712/50,229 = 50,229/x
  3. Step 3: Cross multiply
    35,712x = 50,229 × 50,229
  4. Step 4: Simplify right side
    35,712x = 2,522,952,441
  5. Step 5: Solve for x
    x = 2,522,952,441/35,712
  6. Step 6: Final answer
    x = 70,647.19

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.