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Finding the Third Proportional to 17,673.19 and 38,054.81

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Solution

The third proportional to 17,673.19 and 38,054.81 is: 81,941.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,673.19 : 38,054.81 = 38,054.81 : x
  2. Step 2: Convert to fraction form
    17,673.19/38,054.81 = 38,054.81/x
  3. Step 3: Cross multiply
    17,673.19x = 38,054.81 × 38,054.81
  4. Step 4: Simplify right side
    17,673.19x = 1,448,168,754.41
  5. Step 5: Solve for x
    x = 1,448,168,754.41/17,673.19
  6. Step 6: Final answer
    x = 81,941.57

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.