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Finding the Third Proportional to 27,228 and 42,783

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Solution

The third proportional to 27,228 and 42,783 is: 67,224.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,228 : 42,783 = 42,783 : x
  2. Step 2: Convert to fraction form
    27,228/42,783 = 42,783/x
  3. Step 3: Cross multiply
    27,228x = 42,783 × 42,783
  4. Step 4: Simplify right side
    27,228x = 1,830,385,089
  5. Step 5: Solve for x
    x = 1,830,385,089/27,228
  6. Step 6: Final answer
    x = 67,224.37

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.