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Finding the Third Proportional to 16,663 and 35,534

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Solution

The third proportional to 16,663 and 35,534 is: 75,776.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,663 : 35,534 = 35,534 : x
  2. Step 2: Convert to fraction form
    16,663/35,534 = 35,534/x
  3. Step 3: Cross multiply
    16,663x = 35,534 × 35,534
  4. Step 4: Simplify right side
    16,663x = 1,262,665,156
  5. Step 5: Solve for x
    x = 1,262,665,156/16,663
  6. Step 6: Final answer
    x = 75,776.58

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.