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Finding the Third Proportional to 38,947.50 and 84,729

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Solution

The third proportional to 38,947.50 and 84,729 is: 184,325.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,947.50 : 84,729 = 84,729 : x
  2. Step 2: Convert to fraction form
    38,947.50/84,729 = 84,729/x
  3. Step 3: Cross multiply
    38,947.50x = 84,729 × 84,729
  4. Step 4: Simplify right side
    38,947.50x = 7,179,003,441
  5. Step 5: Solve for x
    x = 7,179,003,441/38,947.50
  6. Step 6: Final answer
    x = 184,325.14

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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.