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Finding the Third Proportional to 2,174.34 and 4,747.36

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Solution

The third proportional to 2,174.34 and 4,747.36 is: 10,365.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,174.34 : 4,747.36 = 4,747.36 : x
  2. Step 2: Convert to fraction form
    2,174.34/4,747.36 = 4,747.36/x
  3. Step 3: Cross multiply
    2,174.34x = 4,747.36 × 4,747.36
  4. Step 4: Simplify right side
    2,174.34x = 22,537,421.04
  5. Step 5: Solve for x
    x = 22,537,421.04/2,174.34
  6. Step 6: Final answer
    x = 10,365.16

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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.