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Finding the Third Proportional to 17,338.50 and 40,916.25

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Solution

The third proportional to 17,338.50 and 40,916.25 is: 96,556.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,338.50 : 40,916.25 = 40,916.25 : x
  2. Step 2: Convert to fraction form
    17,338.50/40,916.25 = 40,916.25/x
  3. Step 3: Cross multiply
    17,338.50x = 40,916.25 × 40,916.25
  4. Step 4: Simplify right side
    17,338.50x = 1,674,139,514.06
  5. Step 5: Solve for x
    x = 1,674,139,514.06/17,338.50
  6. Step 6: Final answer
    x = 96,556.19

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.