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Finding the Third Proportional to 5,653.69 and 12,281.06

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Solution

The third proportional to 5,653.69 and 12,281.06 is: 26,677.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,653.69 : 12,281.06 = 12,281.06 : x
  2. Step 2: Convert to fraction form
    5,653.69/12,281.06 = 12,281.06/x
  3. Step 3: Cross multiply
    5,653.69x = 12,281.06 × 12,281.06
  4. Step 4: Simplify right side
    5,653.69x = 150,824,496.13
  5. Step 5: Solve for x
    x = 150,824,496.13/5,653.69
  6. Step 6: Final answer
    x = 26,677.19

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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.