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Finding the Third Proportional to 17,457.19 and 37,681.88

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Solution

The third proportional to 17,457.19 and 37,681.88 is: 81,337.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,457.19 : 37,681.88 = 37,681.88 : x
  2. Step 2: Convert to fraction form
    17,457.19/37,681.88 = 37,681.88/x
  3. Step 3: Cross multiply
    17,457.19x = 37,681.88 × 37,681.88
  4. Step 4: Simplify right side
    17,457.19x = 1,419,923,703.52
  5. Step 5: Solve for x
    x = 1,419,923,703.52/17,457.19
  6. Step 6: Final answer
    x = 81,337.48

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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.