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Finding the Third Proportional to 30,463.75 and 66,813.25

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Solution

The third proportional to 30,463.75 and 66,813.25 is: 146,535.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,463.75 : 66,813.25 = 66,813.25 : x
  2. Step 2: Convert to fraction form
    30,463.75/66,813.25 = 66,813.25/x
  3. Step 3: Cross multiply
    30,463.75x = 66,813.25 × 66,813.25
  4. Step 4: Simplify right side
    30,463.75x = 4,464,010,375.56
  5. Step 5: Solve for x
    x = 4,464,010,375.56/30,463.75
  6. Step 6: Final answer
    x = 146,535.16

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.