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Finding the Third Proportional to 5,788.13 and 6,395.63

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Solution

The third proportional to 5,788.13 and 6,395.63 is: 7,066.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,788.13 : 6,395.63 = 6,395.63 : x
  2. Step 2: Convert to fraction form
    5,788.13/6,395.63 = 6,395.63/x
  3. Step 3: Cross multiply
    5,788.13x = 6,395.63 × 6,395.63
  4. Step 4: Simplify right side
    5,788.13x = 40,904,019.14
  5. Step 5: Solve for x
    x = 40,904,019.14/5,788.13
  6. Step 6: Final answer
    x = 7,066.89

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These problems maintain the same ratio (1.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.