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Finding the Third Proportional to 9,943.03 and 21,442.78

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Solution

The third proportional to 9,943.03 and 21,442.78 is: 46,242.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,943.03 : 21,442.78 = 21,442.78 : x
  2. Step 2: Convert to fraction form
    9,943.03/21,442.78 = 21,442.78/x
  3. Step 3: Cross multiply
    9,943.03x = 21,442.78 × 21,442.78
  4. Step 4: Simplify right side
    9,943.03x = 459,792,867.74
  5. Step 5: Solve for x
    x = 459,792,867.74/9,943.03
  6. Step 6: Final answer
    x = 46,242.73

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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.