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Finding the Third Proportional to 11,802.11 and 18,275.01

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Solution

The third proportional to 11,802.11 and 18,275.01 is: 28,297.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,802.11 : 18,275.01 = 18,275.01 : x
  2. Step 2: Convert to fraction form
    11,802.11/18,275.01 = 18,275.01/x
  3. Step 3: Cross multiply
    11,802.11x = 18,275.01 × 18,275.01
  4. Step 4: Simplify right side
    11,802.11x = 333,976,062.24
  5. Step 5: Solve for x
    x = 333,976,062.24/11,802.11
  6. Step 6: Final answer
    x = 28,297.99

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.