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Finding the Third Proportional to 27,306.50 and 43,418.75

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Solution

The third proportional to 27,306.50 and 43,418.75 is: 69,038.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,306.50 : 43,418.75 = 43,418.75 : x
  2. Step 2: Convert to fraction form
    27,306.50/43,418.75 = 43,418.75/x
  3. Step 3: Cross multiply
    27,306.50x = 43,418.75 × 43,418.75
  4. Step 4: Simplify right side
    27,306.50x = 1,885,187,851.56
  5. Step 5: Solve for x
    x = 1,885,187,851.56/27,306.50
  6. Step 6: Final answer
    x = 69,038.06

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.