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Finding the Third Proportional to 17,916.19 and 27,562.78

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Solution

The third proportional to 17,916.19 and 27,562.78 is: 42,403.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,916.19 : 27,562.78 = 27,562.78 : x
  2. Step 2: Convert to fraction form
    17,916.19/27,562.78 = 27,562.78/x
  3. Step 3: Cross multiply
    17,916.19x = 27,562.78 × 27,562.78
  4. Step 4: Simplify right side
    17,916.19x = 759,706,910.24
  5. Step 5: Solve for x
    x = 759,706,910.24/17,916.19
  6. Step 6: Final answer
    x = 42,403.38

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.