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Finding the Third Proportional to 36,036.75 and 82,947.75

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Solution

The third proportional to 36,036.75 and 82,947.75 is: 190,925.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,036.75 : 82,947.75 = 82,947.75 : x
  2. Step 2: Convert to fraction form
    36,036.75/82,947.75 = 82,947.75/x
  3. Step 3: Cross multiply
    36,036.75x = 82,947.75 × 82,947.75
  4. Step 4: Simplify right side
    36,036.75x = 6,880,329,230.06
  5. Step 5: Solve for x
    x = 6,880,329,230.06/36,036.75
  6. Step 6: Final answer
    x = 190,925.35

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Why These Related Problems?

These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.