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Finding the Third Proportional to 7,806.85 and 16,587.60

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Solution

The third proportional to 7,806.85 and 16,587.60 is: 35,244.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,806.85 : 16,587.60 = 16,587.60 : x
  2. Step 2: Convert to fraction form
    7,806.85/16,587.60 = 16,587.60/x
  3. Step 3: Cross multiply
    7,806.85x = 16,587.60 × 16,587.60
  4. Step 4: Simplify right side
    7,806.85x = 275,148,396.01
  5. Step 5: Solve for x
    x = 275,148,396.01/7,806.85
  6. Step 6: Final answer
    x = 35,244.49

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.