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Finding the Third Proportional to 35,412 and 75,948

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Solution

The third proportional to 35,412 and 75,948 is: 162,885.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,412 : 75,948 = 75,948 : x
  2. Step 2: Convert to fraction form
    35,412/75,948 = 75,948/x
  3. Step 3: Cross multiply
    35,412x = 75,948 × 75,948
  4. Step 4: Simplify right side
    35,412x = 5,768,098,704
  5. Step 5: Solve for x
    x = 5,768,098,704/35,412
  6. Step 6: Final answer
    x = 162,885.43

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.