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Finding the Third Proportional to 3,458.95 and 7,460.86

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Solution

The third proportional to 3,458.95 and 7,460.86 is: 16,092.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,458.95 : 7,460.86 = 7,460.86 : x
  2. Step 2: Convert to fraction form
    3,458.95/7,460.86 = 7,460.86/x
  3. Step 3: Cross multiply
    3,458.95x = 7,460.86 × 7,460.86
  4. Step 4: Simplify right side
    3,458.95x = 55,664,422.61
  5. Step 5: Solve for x
    x = 55,664,422.61/3,458.95
  6. Step 6: Final answer
    x = 16,092.85

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.