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Finding the Third Proportional to 27,348.75 and 40,977.56

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Solution

The third proportional to 27,348.75 and 40,977.56 is: 61,398.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,348.75 : 40,977.56 = 40,977.56 : x
  2. Step 2: Convert to fraction form
    27,348.75/40,977.56 = 40,977.56/x
  3. Step 3: Cross multiply
    27,348.75x = 40,977.56 × 40,977.56
  4. Step 4: Simplify right side
    27,348.75x = 1,679,160,628.44
  5. Step 5: Solve for x
    x = 1,679,160,628.44/27,348.75
  6. Step 6: Final answer
    x = 61,398.08

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.