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Finding the Third Proportional to 29,952.28 and 49,921.31

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Solution

The third proportional to 29,952.28 and 49,921.31 is: 83,203.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,952.28 : 49,921.31 = 49,921.31 : x
  2. Step 2: Convert to fraction form
    29,952.28/49,921.31 = 49,921.31/x
  3. Step 3: Cross multiply
    29,952.28x = 49,921.31 × 49,921.31
  4. Step 4: Simplify right side
    29,952.28x = 2,492,137,441.72
  5. Step 5: Solve for x
    x = 2,492,137,441.72/29,952.28
  6. Step 6: Final answer
    x = 83,203.59

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These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.