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Finding the Third Proportional to 3,904.59 and 8,502.47

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Solution

The third proportional to 3,904.59 and 8,502.47 is: 18,514.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,904.59 : 8,502.47 = 8,502.47 : x
  2. Step 2: Convert to fraction form
    3,904.59/8,502.47 = 8,502.47/x
  3. Step 3: Cross multiply
    3,904.59x = 8,502.47 × 8,502.47
  4. Step 4: Simplify right side
    3,904.59x = 72,291,974.84
  5. Step 5: Solve for x
    x = 72,291,974.84/3,904.59
  6. Step 6: Final answer
    x = 18,514.60

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.