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Finding the Third Proportional to 7,673.06 and 15,310.69

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Solution

The third proportional to 7,673.06 and 15,310.69 is: 30,550.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,673.06 : 15,310.69 = 15,310.69 : x
  2. Step 2: Convert to fraction form
    7,673.06/15,310.69 = 15,310.69/x
  3. Step 3: Cross multiply
    7,673.06x = 15,310.69 × 15,310.69
  4. Step 4: Simplify right side
    7,673.06x = 234,417,151.72
  5. Step 5: Solve for x
    x = 234,417,151.72/7,673.06
  6. Step 6: Final answer
    x = 30,550.66

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Why These Related Problems?

These problems maintain the same ratio (2.00) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.