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Finding the Third Proportional to 17,204.48 and 37,689.47

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Solution

The third proportional to 17,204.48 and 37,689.47 is: 82,565.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,204.48 : 37,689.47 = 37,689.47 : x
  2. Step 2: Convert to fraction form
    17,204.48/37,689.47 = 37,689.47/x
  3. Step 3: Cross multiply
    17,204.48x = 37,689.47 × 37,689.47
  4. Step 4: Simplify right side
    17,204.48x = 1,420,496,054.66
  5. Step 5: Solve for x
    x = 1,420,496,054.66/17,204.48
  6. Step 6: Final answer
    x = 82,565.45

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.