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Finding the Third Proportional to 9,738.18 and 21,033.32

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Solution

The third proportional to 9,738.18 and 21,033.32 is: 45,429.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,738.18 : 21,033.32 = 21,033.32 : x
  2. Step 2: Convert to fraction form
    9,738.18/21,033.32 = 21,033.32/x
  3. Step 3: Cross multiply
    9,738.18x = 21,033.32 × 21,033.32
  4. Step 4: Simplify right side
    9,738.18x = 442,400,676.34
  5. Step 5: Solve for x
    x = 442,400,676.34/9,738.18
  6. Step 6: Final answer
    x = 45,429.49

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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.