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Finding the Third Proportional to 45,216.14 and 66,517.45

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Solution

The third proportional to 45,216.14 and 66,517.45 is: 97,853.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,216.14 : 66,517.45 = 66,517.45 : x
  2. Step 2: Convert to fraction form
    45,216.14/66,517.45 = 66,517.45/x
  3. Step 3: Cross multiply
    45,216.14x = 66,517.45 × 66,517.45
  4. Step 4: Simplify right side
    45,216.14x = 4,424,571,570.24
  5. Step 5: Solve for x
    x = 4,424,571,570.24/45,216.14
  6. Step 6: Final answer
    x = 97,853.81

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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.