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Finding the Third Proportional to 8,398.69 and 12,355.03

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Solution

The third proportional to 8,398.69 and 12,355.03 is: 18,175.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,398.69 : 12,355.03 = 12,355.03 : x
  2. Step 2: Convert to fraction form
    8,398.69/12,355.03 = 12,355.03/x
  3. Step 3: Cross multiply
    8,398.69x = 12,355.03 × 12,355.03
  4. Step 4: Simplify right side
    8,398.69x = 152,646,797.19
  5. Step 5: Solve for x
    x = 152,646,797.19/8,398.69
  6. Step 6: Final answer
    x = 18,175.08

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.