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Finding the Third Proportional to 5,760.81 and 8,802.11

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Solution

The third proportional to 5,760.81 and 8,802.11 is: 13,448.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,760.81 : 8,802.11 = 8,802.11 : x
  2. Step 2: Convert to fraction form
    5,760.81/8,802.11 = 8,802.11/x
  3. Step 3: Cross multiply
    5,760.81x = 8,802.11 × 8,802.11
  4. Step 4: Simplify right side
    5,760.81x = 77,477,060.68
  5. Step 5: Solve for x
    x = 77,477,060.68/5,760.81
  6. Step 6: Final answer
    x = 13,448.99

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.