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Finding the Third Proportional to 3,065.86 and 4,497.87

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Solution

The third proportional to 3,065.86 and 4,497.87 is: 6,598.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,065.86 : 4,497.87 = 4,497.87 : x
  2. Step 2: Convert to fraction form
    3,065.86/4,497.87 = 4,497.87/x
  3. Step 3: Cross multiply
    3,065.86x = 4,497.87 × 4,497.87
  4. Step 4: Simplify right side
    3,065.86x = 20,230,861.95
  5. Step 5: Solve for x
    x = 20,230,861.95/3,065.86
  6. Step 6: Final answer
    x = 6,598.76

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.