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Finding the Third Proportional to 35,412 and 51,842.25

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Solution

The third proportional to 35,412 and 51,842.25 is: 75,895.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,412 : 51,842.25 = 51,842.25 : x
  2. Step 2: Convert to fraction form
    35,412/51,842.25 = 51,842.25/x
  3. Step 3: Cross multiply
    35,412x = 51,842.25 × 51,842.25
  4. Step 4: Simplify right side
    35,412x = 2,687,618,885.06
  5. Step 5: Solve for x
    x = 2,687,618,885.06/35,412
  6. Step 6: Final answer
    x = 75,895.71

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.