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Finding the Third Proportional to 38,772 and 83,733.75

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Solution

The third proportional to 38,772 and 83,733.75 is: 180,835.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,772 : 83,733.75 = 83,733.75 : x
  2. Step 2: Convert to fraction form
    38,772/83,733.75 = 83,733.75/x
  3. Step 3: Cross multiply
    38,772x = 83,733.75 × 83,733.75
  4. Step 4: Simplify right side
    38,772x = 7,011,340,889.06
  5. Step 5: Solve for x
    x = 7,011,340,889.06/38,772
  6. Step 6: Final answer
    x = 180,835.16

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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.