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Finding the Third Proportional to 14,882.06 and 31,298.06

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Solution

The third proportional to 14,882.06 and 31,298.06 is: 65,822.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,882.06 : 31,298.06 = 31,298.06 : x
  2. Step 2: Convert to fraction form
    14,882.06/31,298.06 = 31,298.06/x
  3. Step 3: Cross multiply
    14,882.06x = 31,298.06 × 31,298.06
  4. Step 4: Simplify right side
    14,882.06x = 979,568,716.25
  5. Step 5: Solve for x
    x = 979,568,716.25/14,882.06
  6. Step 6: Final answer
    x = 65,822.11

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.