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Finding the Third Proportional to 7,822.51 and 16,972.03

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Solution

The third proportional to 7,822.51 and 16,972.03 is: 36,823.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,822.51 : 16,972.03 = 16,972.03 : x
  2. Step 2: Convert to fraction form
    7,822.51/16,972.03 = 16,972.03/x
  3. Step 3: Cross multiply
    7,822.51x = 16,972.03 × 16,972.03
  4. Step 4: Simplify right side
    7,822.51x = 288,049,844.75
  5. Step 5: Solve for x
    x = 288,049,844.75/7,822.51
  6. Step 6: Final answer
    x = 36,823.19

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.