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Finding the Third Proportional to 4,541.34 and 9,799.31

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Solution

The third proportional to 4,541.34 and 9,799.31 is: 21,144.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,541.34 : 9,799.31 = 9,799.31 : x
  2. Step 2: Convert to fraction form
    4,541.34/9,799.31 = 9,799.31/x
  3. Step 3: Cross multiply
    4,541.34x = 9,799.31 × 9,799.31
  4. Step 4: Simplify right side
    4,541.34x = 96,026,525.47
  5. Step 5: Solve for x
    x = 96,026,525.47/4,541.34
  6. Step 6: Final answer
    x = 21,144.96

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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.