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Finding the Third Proportional to 3,046.99 and 5,478.89

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Solution

The third proportional to 3,046.99 and 5,478.89 is: 9,851.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,046.99 : 5,478.89 = 5,478.89 : x
  2. Step 2: Convert to fraction form
    3,046.99/5,478.89 = 5,478.89/x
  3. Step 3: Cross multiply
    3,046.99x = 5,478.89 × 5,478.89
  4. Step 4: Simplify right side
    3,046.99x = 30,018,242.48
  5. Step 5: Solve for x
    x = 30,018,242.48/3,046.99
  6. Step 6: Final answer
    x = 9,851.76

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Why These Related Problems?

These problems maintain the same ratio (1.80) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.