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Finding the Third Proportional to 4,328.72 and 9,349.31

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Solution

The third proportional to 4,328.72 and 9,349.31 is: 20,192.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,328.72 : 9,349.31 = 9,349.31 : x
  2. Step 2: Convert to fraction form
    4,328.72/9,349.31 = 9,349.31/x
  3. Step 3: Cross multiply
    4,328.72x = 9,349.31 × 9,349.31
  4. Step 4: Simplify right side
    4,328.72x = 87,409,644.22
  5. Step 5: Solve for x
    x = 87,409,644.22/4,328.72
  6. Step 6: Final answer
    x = 20,192.96

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.