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Finding the Third Proportional to 16,767 and 34,926.19

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Solution

The third proportional to 16,767 and 34,926.19 is: 72,752.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,767 : 34,926.19 = 34,926.19 : x
  2. Step 2: Convert to fraction form
    16,767/34,926.19 = 34,926.19/x
  3. Step 3: Cross multiply
    16,767x = 34,926.19 × 34,926.19
  4. Step 4: Simplify right side
    16,767x = 1,219,838,573.29
  5. Step 5: Solve for x
    x = 1,219,838,573.29/16,767
  6. Step 6: Final answer
    x = 72,752.35

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.