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Finding the Third Proportional to 16,700.50 and 36,479

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Solution

The third proportional to 16,700.50 and 36,479 is: 79,681.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,700.50 : 36,479 = 36,479 : x
  2. Step 2: Convert to fraction form
    16,700.50/36,479 = 36,479/x
  3. Step 3: Cross multiply
    16,700.50x = 36,479 × 36,479
  4. Step 4: Simplify right side
    16,700.50x = 1,330,717,441
  5. Step 5: Solve for x
    x = 1,330,717,441/16,700.50
  6. Step 6: Final answer
    x = 79,681.29

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.