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Finding the Third Proportional to 5,664.09 and 12,148.31

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Solution

The third proportional to 5,664.09 and 12,148.31 is: 26,055.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,664.09 : 12,148.31 = 12,148.31 : x
  2. Step 2: Convert to fraction form
    5,664.09/12,148.31 = 12,148.31/x
  3. Step 3: Cross multiply
    5,664.09x = 12,148.31 × 12,148.31
  4. Step 4: Simplify right side
    5,664.09x = 147,581,496.60
  5. Step 5: Solve for x
    x = 147,581,496.60/5,664.09
  6. Step 6: Final answer
    x = 26,055.62

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.