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Finding the Third Proportional to 1,607.34 and 3,484.69

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Solution

The third proportional to 1,607.34 and 3,484.69 is: 7,554.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,607.34 : 3,484.69 = 3,484.69 : x
  2. Step 2: Convert to fraction form
    1,607.34/3,484.69 = 3,484.69/x
  3. Step 3: Cross multiply
    1,607.34x = 3,484.69 × 3,484.69
  4. Step 4: Simplify right side
    1,607.34x = 12,143,046.97
  5. Step 5: Solve for x
    x = 12,143,046.97/1,607.34
  6. Step 6: Final answer
    x = 7,554.73

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.