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Finding the Third Proportional to 17,468.81 and 37,703.91

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Solution

The third proportional to 17,468.81 and 37,703.91 is: 81,378.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,468.81 : 37,703.91 = 37,703.91 : x
  2. Step 2: Convert to fraction form
    17,468.81/37,703.91 = 37,703.91/x
  3. Step 3: Cross multiply
    17,468.81x = 37,703.91 × 37,703.91
  4. Step 4: Simplify right side
    17,468.81x = 1,421,584,546.51
  5. Step 5: Solve for x
    x = 1,421,584,546.51/17,468.81
  6. Step 6: Final answer
    x = 81,378.43

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.