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Finding the Third Proportional to 16,767 and 32,334.19

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Solution

The third proportional to 16,767 and 32,334.19 is: 62,354.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,767 : 32,334.19 = 32,334.19 : x
  2. Step 2: Convert to fraction form
    16,767/32,334.19 = 32,334.19/x
  3. Step 3: Cross multiply
    16,767x = 32,334.19 × 32,334.19
  4. Step 4: Simplify right side
    16,767x = 1,045,499,681.29
  5. Step 5: Solve for x
    x = 1,045,499,681.29/16,767
  6. Step 6: Final answer
    x = 62,354.61

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Why These Related Problems?

These problems maintain the same ratio (1.93) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.