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Finding the Third Proportional to 4,375.34 and 9,601.10

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Solution

The third proportional to 4,375.34 and 9,601.10 is: 21,068.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,375.34 : 9,601.10 = 9,601.10 : x
  2. Step 2: Convert to fraction form
    4,375.34/9,601.10 = 9,601.10/x
  3. Step 3: Cross multiply
    4,375.34x = 9,601.10 × 9,601.10
  4. Step 4: Simplify right side
    4,375.34x = 92,181,151.21
  5. Step 5: Solve for x
    x = 92,181,151.21/4,375.34
  6. Step 6: Final answer
    x = 21,068.36

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.