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Finding the Third Proportional to 16,390.69 and 33,948

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Solution

The third proportional to 16,390.69 and 33,948 is: 70,312.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,390.69 : 33,948 = 33,948 : x
  2. Step 2: Convert to fraction form
    16,390.69/33,948 = 33,948/x
  3. Step 3: Cross multiply
    16,390.69x = 33,948 × 33,948
  4. Step 4: Simplify right side
    16,390.69x = 1,152,466,704
  5. Step 5: Solve for x
    x = 1,152,466,704/16,390.69
  6. Step 6: Final answer
    x = 70,312.29

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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.