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Finding the Third Proportional to 44,772.75 and 66,133.97

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Solution

The third proportional to 44,772.75 and 66,133.97 is: 97,686.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,772.75 : 66,133.97 = 66,133.97 : x
  2. Step 2: Convert to fraction form
    44,772.75/66,133.97 = 66,133.97/x
  3. Step 3: Cross multiply
    44,772.75x = 66,133.97 × 66,133.97
  4. Step 4: Simplify right side
    44,772.75x = 4,373,701,822.63
  5. Step 5: Solve for x
    x = 4,373,701,822.63/44,772.75
  6. Step 6: Final answer
    x = 97,686.69

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.