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Finding the Third Proportional to 16,392 and 35,862

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Solution

The third proportional to 16,392 and 35,862 is: 78,457.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,392 : 35,862 = 35,862 : x
  2. Step 2: Convert to fraction form
    16,392/35,862 = 35,862/x
  3. Step 3: Cross multiply
    16,392x = 35,862 × 35,862
  4. Step 4: Simplify right side
    16,392x = 1,286,083,044
  5. Step 5: Solve for x
    x = 1,286,083,044/16,392
  6. Step 6: Final answer
    x = 78,457.97

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.