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Finding the Third Proportional to 4,673.63 and 7,789.13

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Solution

The third proportional to 4,673.63 and 7,789.13 is: 12,981.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,673.63 : 7,789.13 = 7,789.13 : x
  2. Step 2: Convert to fraction form
    4,673.63/7,789.13 = 7,789.13/x
  3. Step 3: Cross multiply
    4,673.63x = 7,789.13 × 7,789.13
  4. Step 4: Simplify right side
    4,673.63x = 60,670,468.27
  5. Step 5: Solve for x
    x = 60,670,468.27/4,673.63
  6. Step 6: Final answer
    x = 12,981.46

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.