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Finding the Third Proportional to 38,295.56 and 83,232.56

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Solution

The third proportional to 38,295.56 and 83,232.56 is: 180,899.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,295.56 : 83,232.56 = 83,232.56 : x
  2. Step 2: Convert to fraction form
    38,295.56/83,232.56 = 83,232.56/x
  3. Step 3: Cross multiply
    38,295.56x = 83,232.56 × 83,232.56
  4. Step 4: Simplify right side
    38,295.56x = 6,927,659,460.32
  5. Step 5: Solve for x
    x = 6,927,659,460.32/38,295.56
  6. Step 6: Final answer
    x = 180,899.80

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.