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Finding the Third Proportional to 6,490.13 and 8,634.09

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Solution

The third proportional to 6,490.13 and 8,634.09 is: 11,486.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,490.13 : 8,634.09 = 8,634.09 : x
  2. Step 2: Convert to fraction form
    6,490.13/8,634.09 = 8,634.09/x
  3. Step 3: Cross multiply
    6,490.13x = 8,634.09 × 8,634.09
  4. Step 4: Simplify right side
    6,490.13x = 74,547,574.88
  5. Step 5: Solve for x
    x = 74,547,574.88/6,490.13
  6. Step 6: Final answer
    x = 11,486.31

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These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.