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Finding the Third Proportional to 4,335.38 and 9,353.63

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Solution

The third proportional to 4,335.38 and 9,353.63 is: 20,180.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,335.38 : 9,353.63 = 9,353.63 : x
  2. Step 2: Convert to fraction form
    4,335.38/9,353.63 = 9,353.63/x
  3. Step 3: Cross multiply
    4,335.38x = 9,353.63 × 9,353.63
  4. Step 4: Simplify right side
    4,335.38x = 87,490,300.64
  5. Step 5: Solve for x
    x = 87,490,300.64/4,335.38
  6. Step 6: Final answer
    x = 20,180.56

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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.