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Finding the Third Proportional to 27,484 and 55,928

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Solution

The third proportional to 27,484 and 55,928 is: 113,809.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,484 : 55,928 = 55,928 : x
  2. Step 2: Convert to fraction form
    27,484/55,928 = 55,928/x
  3. Step 3: Cross multiply
    27,484x = 55,928 × 55,928
  4. Step 4: Simplify right side
    27,484x = 3,127,941,184
  5. Step 5: Solve for x
    x = 3,127,941,184/27,484
  6. Step 6: Final answer
    x = 113,809.53

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.