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Finding the Third Proportional to 7,474.75 and 15,860.63

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Solution

The third proportional to 7,474.75 and 15,860.63 is: 33,654.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,474.75 : 15,860.63 = 15,860.63 : x
  2. Step 2: Convert to fraction form
    7,474.75/15,860.63 = 15,860.63/x
  3. Step 3: Cross multiply
    7,474.75x = 15,860.63 × 15,860.63
  4. Step 4: Simplify right side
    7,474.75x = 251,559,425.39
  5. Step 5: Solve for x
    x = 251,559,425.39/7,474.75
  6. Step 6: Final answer
    x = 33,654.56

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.