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Finding the Third Proportional to 16,422.75 and 35,717.63

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Solution

The third proportional to 16,422.75 and 35,717.63 is: 77,681.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,422.75 : 35,717.63 = 35,717.63 : x
  2. Step 2: Convert to fraction form
    16,422.75/35,717.63 = 35,717.63/x
  3. Step 3: Cross multiply
    16,422.75x = 35,717.63 × 35,717.63
  4. Step 4: Simplify right side
    16,422.75x = 1,275,748,735.64
  5. Step 5: Solve for x
    x = 1,275,748,735.64/16,422.75
  6. Step 6: Final answer
    x = 77,681.80

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.