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Finding the Third Proportional to 16,258.50 and 33,808.50

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Solution

The third proportional to 16,258.50 and 33,808.50 is: 70,302.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,258.50 : 33,808.50 = 33,808.50 : x
  2. Step 2: Convert to fraction form
    16,258.50/33,808.50 = 33,808.50/x
  3. Step 3: Cross multiply
    16,258.50x = 33,808.50 × 33,808.50
  4. Step 4: Simplify right side
    16,258.50x = 1,143,014,672.25
  5. Step 5: Solve for x
    x = 1,143,014,672.25/16,258.50
  6. Step 6: Final answer
    x = 70,302.59

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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.