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Finding the Third Proportional to 30,291.47 and 62,052.33

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Solution

The third proportional to 30,291.47 and 62,052.33 is: 127,114.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,291.47 : 62,052.33 = 62,052.33 : x
  2. Step 2: Convert to fraction form
    30,291.47/62,052.33 = 62,052.33/x
  3. Step 3: Cross multiply
    30,291.47x = 62,052.33 × 62,052.33
  4. Step 4: Simplify right side
    30,291.47x = 3,850,491,425.73
  5. Step 5: Solve for x
    x = 3,850,491,425.73/30,291.47
  6. Step 6: Final answer
    x = 127,114.72

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.