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Finding the Third Proportional to 6,598.13 and 9,647.44

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Solution

The third proportional to 6,598.13 and 9,647.44 is: 14,105.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,598.13 : 9,647.44 = 9,647.44 : x
  2. Step 2: Convert to fraction form
    6,598.13/9,647.44 = 9,647.44/x
  3. Step 3: Cross multiply
    6,598.13x = 9,647.44 × 9,647.44
  4. Step 4: Simplify right side
    6,598.13x = 93,073,050.32
  5. Step 5: Solve for x
    x = 93,073,050.32/6,598.13
  6. Step 6: Final answer
    x = 14,105.98

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.