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Finding the Third Proportional to 21,895.13 and 31,202.06

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Solution

The third proportional to 21,895.13 and 31,202.06 is: 44,465.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,895.13 : 31,202.06 = 31,202.06 : x
  2. Step 2: Convert to fraction form
    21,895.13/31,202.06 = 31,202.06/x
  3. Step 3: Cross multiply
    21,895.13x = 31,202.06 × 31,202.06
  4. Step 4: Simplify right side
    21,895.13x = 973,568,704.25
  5. Step 5: Solve for x
    x = 973,568,704.25/21,895.13
  6. Step 6: Final answer
    x = 44,465.09

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.