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Finding the Third Proportional to 27,228 and 56,535

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Solution

The third proportional to 27,228 and 56,535 is: 117,386.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,228 : 56,535 = 56,535 : x
  2. Step 2: Convert to fraction form
    27,228/56,535 = 56,535/x
  3. Step 3: Cross multiply
    27,228x = 56,535 × 56,535
  4. Step 4: Simplify right side
    27,228x = 3,196,206,225
  5. Step 5: Solve for x
    x = 3,196,206,225/27,228
  6. Step 6: Final answer
    x = 117,386.74

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.