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Finding the Third Proportional to 4,483.13 and 9,478.69

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Solution

The third proportional to 4,483.13 and 9,478.69 is: 20,040.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,483.13 : 9,478.69 = 9,478.69 : x
  2. Step 2: Convert to fraction form
    4,483.13/9,478.69 = 9,478.69/x
  3. Step 3: Cross multiply
    4,483.13x = 9,478.69 × 9,478.69
  4. Step 4: Simplify right side
    4,483.13x = 89,845,516.72
  5. Step 5: Solve for x
    x = 89,845,516.72/4,483.13
  6. Step 6: Final answer
    x = 20,040.82

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.