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Finding the Third Proportional to 45,223.59 and 66,480.47

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Solution

The third proportional to 45,223.59 and 66,480.47 is: 97,728.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,223.59 : 66,480.47 = 66,480.47 : x
  2. Step 2: Convert to fraction form
    45,223.59/66,480.47 = 66,480.47/x
  3. Step 3: Cross multiply
    45,223.59x = 66,480.47 × 66,480.47
  4. Step 4: Simplify right side
    45,223.59x = 4,419,652,725.22
  5. Step 5: Solve for x
    x = 4,419,652,725.22/45,223.59
  6. Step 6: Final answer
    x = 97,728.91

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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.