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Finding the Third Proportional to 5,609.81 and 12,148.31

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Solution

The third proportional to 5,609.81 and 12,148.31 is: 26,307.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,609.81 : 12,148.31 = 12,148.31 : x
  2. Step 2: Convert to fraction form
    5,609.81/12,148.31 = 12,148.31/x
  3. Step 3: Cross multiply
    5,609.81x = 12,148.31 × 12,148.31
  4. Step 4: Simplify right side
    5,609.81x = 147,581,496.60
  5. Step 5: Solve for x
    x = 147,581,496.60/5,609.81
  6. Step 6: Final answer
    x = 26,307.74

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.