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Finding the Third Proportional to 6,646.03 and 14,499.38

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Solution

The third proportional to 6,646.03 and 14,499.38 is: 31,632.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,646.03 : 14,499.38 = 14,499.38 : x
  2. Step 2: Convert to fraction form
    6,646.03/14,499.38 = 14,499.38/x
  3. Step 3: Cross multiply
    6,646.03x = 14,499.38 × 14,499.38
  4. Step 4: Simplify right side
    6,646.03x = 210,231,875.39
  5. Step 5: Solve for x
    x = 210,231,875.39/6,646.03
  6. Step 6: Final answer
    x = 31,632.69

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.