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Finding the Third Proportional to 27,977.25 and 43,384.13

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Solution

The third proportional to 27,977.25 and 43,384.13 is: 67,275.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,977.25 : 43,384.13 = 43,384.13 : x
  2. Step 2: Convert to fraction form
    27,977.25/43,384.13 = 43,384.13/x
  3. Step 3: Cross multiply
    27,977.25x = 43,384.13 × 43,384.13
  4. Step 4: Simplify right side
    27,977.25x = 1,882,182,302.02
  5. Step 5: Solve for x
    x = 1,882,182,302.02/27,977.25
  6. Step 6: Final answer
    x = 67,275.46

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.