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Finding the Third Proportional to 5,164.13 and 8,207.63

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Solution

The third proportional to 5,164.13 and 8,207.63 is: 13,044.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,164.13 : 8,207.63 = 8,207.63 : x
  2. Step 2: Convert to fraction form
    5,164.13/8,207.63 = 8,207.63/x
  3. Step 3: Cross multiply
    5,164.13x = 8,207.63 × 8,207.63
  4. Step 4: Simplify right side
    5,164.13x = 67,365,108.14
  5. Step 5: Solve for x
    x = 67,365,108.14/5,164.13
  6. Step 6: Final answer
    x = 13,044.83

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.