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Finding the Third Proportional to 17,569.41 and 37,649.81

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Solution

The third proportional to 17,569.41 and 37,649.81 is: 80,680.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,569.41 : 37,649.81 = 37,649.81 : x
  2. Step 2: Convert to fraction form
    17,569.41/37,649.81 = 37,649.81/x
  3. Step 3: Cross multiply
    17,569.41x = 37,649.81 × 37,649.81
  4. Step 4: Simplify right side
    17,569.41x = 1,417,508,381.29
  5. Step 5: Solve for x
    x = 1,417,508,381.29/17,569.41
  6. Step 6: Final answer
    x = 80,680.49

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