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Finding the Third Proportional to 6,406.59 and 14,047.17

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Solution

The third proportional to 6,406.59 and 14,047.17 is: 30,799.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,406.59 : 14,047.17 = 14,047.17 : x
  2. Step 2: Convert to fraction form
    6,406.59/14,047.17 = 14,047.17/x
  3. Step 3: Cross multiply
    6,406.59x = 14,047.17 × 14,047.17
  4. Step 4: Simplify right side
    6,406.59x = 197,323,037.69
  5. Step 5: Solve for x
    x = 197,323,037.69/6,406.59
  6. Step 6: Final answer
    x = 30,799.99

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.