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Finding the Third Proportional to 16,423.88 and 34,014.38

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Solution

The third proportional to 16,423.88 and 34,014.38 is: 70,444.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,423.88 : 34,014.38 = 34,014.38 : x
  2. Step 2: Convert to fraction form
    16,423.88/34,014.38 = 34,014.38/x
  3. Step 3: Cross multiply
    16,423.88x = 34,014.38 × 34,014.38
  4. Step 4: Simplify right side
    16,423.88x = 1,156,977,706.64
  5. Step 5: Solve for x
    x = 1,156,977,706.64/16,423.88
  6. Step 6: Final answer
    x = 70,444.87

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.