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Finding the Third Proportional to 39,276 and 84,780

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Solution

The third proportional to 39,276 and 84,780 is: 183,003.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,276 : 84,780 = 84,780 : x
  2. Step 2: Convert to fraction form
    39,276/84,780 = 84,780/x
  3. Step 3: Cross multiply
    39,276x = 84,780 × 84,780
  4. Step 4: Simplify right side
    39,276x = 7,187,648,400
  5. Step 5: Solve for x
    x = 7,187,648,400/39,276
  6. Step 6: Final answer
    x = 183,003.57

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.