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Finding the Third Proportional to 16,649.30 and 35,667.84

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Solution

The third proportional to 16,649.30 and 35,667.84 is: 76,411.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,649.30 : 35,667.84 = 35,667.84 : x
  2. Step 2: Convert to fraction form
    16,649.30/35,667.84 = 35,667.84/x
  3. Step 3: Cross multiply
    16,649.30x = 35,667.84 × 35,667.84
  4. Step 4: Simplify right side
    16,649.30x = 1,272,195,077.77
  5. Step 5: Solve for x
    x = 1,272,195,077.77/16,649.30
  6. Step 6: Final answer
    x = 76,411.34

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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.