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Finding the Third Proportional to 4,276.55 and 8,345.95

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Solution

The third proportional to 4,276.55 and 8,345.95 is: 16,287.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,276.55 : 8,345.95 = 8,345.95 : x
  2. Step 2: Convert to fraction form
    4,276.55/8,345.95 = 8,345.95/x
  3. Step 3: Cross multiply
    4,276.55x = 8,345.95 × 8,345.95
  4. Step 4: Simplify right side
    4,276.55x = 69,654,933.56
  5. Step 5: Solve for x
    x = 69,654,933.56/4,276.55
  6. Step 6: Final answer
    x = 16,287.66

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.