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Finding the Third Proportional to 4,389.75 and 9,498.38

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Solution

The third proportional to 4,389.75 and 9,498.38 is: 20,552.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,389.75 : 9,498.38 = 9,498.38 : x
  2. Step 2: Convert to fraction form
    4,389.75/9,498.38 = 9,498.38/x
  3. Step 3: Cross multiply
    4,389.75x = 9,498.38 × 9,498.38
  4. Step 4: Simplify right side
    4,389.75x = 90,219,127.64
  5. Step 5: Solve for x
    x = 90,219,127.64/4,389.75
  6. Step 6: Final answer
    x = 20,552.22

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