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Finding the Third Proportional to 30,837.98 and 66,265.14

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Solution

The third proportional to 30,837.98 and 66,265.14 is: 142,391.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,837.98 : 66,265.14 = 66,265.14 : x
  2. Step 2: Convert to fraction form
    30,837.98/66,265.14 = 66,265.14/x
  3. Step 3: Cross multiply
    30,837.98x = 66,265.14 × 66,265.14
  4. Step 4: Simplify right side
    30,837.98x = 4,391,068,635.56
  5. Step 5: Solve for x
    x = 4,391,068,635.56/30,837.98
  6. Step 6: Final answer
    x = 142,391.57

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.