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Finding the Third Proportional to 30,253.50 and 66,538.69

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Solution

The third proportional to 30,253.50 and 66,538.69 is: 146,343.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,253.50 : 66,538.69 = 66,538.69 : x
  2. Step 2: Convert to fraction form
    30,253.50/66,538.69 = 66,538.69/x
  3. Step 3: Cross multiply
    30,253.50x = 66,538.69 × 66,538.69
  4. Step 4: Simplify right side
    30,253.50x = 4,427,396,934.22
  5. Step 5: Solve for x
    x = 4,427,396,934.22/30,253.50
  6. Step 6: Final answer
    x = 146,343.30

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.