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Finding the Third Proportional to 6,406.59 and 8,620.17

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Solution

The third proportional to 6,406.59 and 8,620.17 is: 11,598.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,406.59 : 8,620.17 = 8,620.17 : x
  2. Step 2: Convert to fraction form
    6,406.59/8,620.17 = 8,620.17/x
  3. Step 3: Cross multiply
    6,406.59x = 8,620.17 × 8,620.17
  4. Step 4: Simplify right side
    6,406.59x = 74,307,363.15
  5. Step 5: Solve for x
    x = 74,307,363.15/6,406.59
  6. Step 6: Final answer
    x = 11,598.58

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.