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Finding the Third Proportional to 17,431.88 and 37,324.13

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Solution

The third proportional to 17,431.88 and 37,324.13 is: 79,916.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,431.88 : 37,324.13 = 37,324.13 : x
  2. Step 2: Convert to fraction form
    17,431.88/37,324.13 = 37,324.13/x
  3. Step 3: Cross multiply
    17,431.88x = 37,324.13 × 37,324.13
  4. Step 4: Simplify right side
    17,431.88x = 1,393,090,307.02
  5. Step 5: Solve for x
    x = 1,393,090,307.02/17,431.88
  6. Step 6: Final answer
    x = 79,916.26

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.