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Finding the Third Proportional to 17,868.09 and 38,047.22

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Solution

The third proportional to 17,868.09 and 38,047.22 is: 81,015.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,868.09 : 38,047.22 = 38,047.22 : x
  2. Step 2: Convert to fraction form
    17,868.09/38,047.22 = 38,047.22/x
  3. Step 3: Cross multiply
    17,868.09x = 38,047.22 × 38,047.22
  4. Step 4: Simplify right side
    17,868.09x = 1,447,590,854.61
  5. Step 5: Solve for x
    x = 1,447,590,854.61/17,868.09
  6. Step 6: Final answer
    x = 81,015.41

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.