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Finding the Third Proportional to 45,411.75 and 66,728.25

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Solution

The third proportional to 45,411.75 and 66,728.25 is: 98,050.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,411.75 : 66,728.25 = 66,728.25 : x
  2. Step 2: Convert to fraction form
    45,411.75/66,728.25 = 66,728.25/x
  3. Step 3: Cross multiply
    45,411.75x = 66,728.25 × 66,728.25
  4. Step 4: Simplify right side
    45,411.75x = 4,452,659,348.06
  5. Step 5: Solve for x
    x = 4,452,659,348.06/45,411.75
  6. Step 6: Final answer
    x = 98,050.82

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.