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Finding the Third Proportional to 38,943 and 84,721.50

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Solution

The third proportional to 38,943 and 84,721.50 is: 184,313.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,943 : 84,721.50 = 84,721.50 : x
  2. Step 2: Convert to fraction form
    38,943/84,721.50 = 84,721.50/x
  3. Step 3: Cross multiply
    38,943x = 84,721.50 × 84,721.50
  4. Step 4: Simplify right side
    38,943x = 7,177,732,562.25
  5. Step 5: Solve for x
    x = 7,177,732,562.25/38,943
  6. Step 6: Final answer
    x = 184,313.81

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.