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Finding the Third Proportional to 6,590.11 and 9,885.80

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Solution

The third proportional to 6,590.11 and 9,885.80 is: 14,829.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,590.11 : 9,885.80 = 9,885.80 : x
  2. Step 2: Convert to fraction form
    6,590.11/9,885.80 = 9,885.80/x
  3. Step 3: Cross multiply
    6,590.11x = 9,885.80 × 9,885.80
  4. Step 4: Simplify right side
    6,590.11x = 97,728,979.85
  5. Step 5: Solve for x
    x = 97,728,979.85/6,590.11
  6. Step 6: Final answer
    x = 14,829.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.