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Finding the Third Proportional to 30,820.50 and 66,966.75

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Solution

The third proportional to 30,820.50 and 66,966.75 is: 145,505.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,820.50 : 66,966.75 = 66,966.75 : x
  2. Step 2: Convert to fraction form
    30,820.50/66,966.75 = 66,966.75/x
  3. Step 3: Cross multiply
    30,820.50x = 66,966.75 × 66,966.75
  4. Step 4: Simplify right side
    30,820.50x = 4,484,545,605.56
  5. Step 5: Solve for x
    x = 4,484,545,605.56/30,820.50
  6. Step 6: Final answer
    x = 145,505.28

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.