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Finding the Third Proportional to 6,499.27 and 9,287.16

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Solution

The third proportional to 6,499.27 and 9,287.16 is: 13,270.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,499.27 : 9,287.16 = 9,287.16 : x
  2. Step 2: Convert to fraction form
    6,499.27/9,287.16 = 9,287.16/x
  3. Step 3: Cross multiply
    6,499.27x = 9,287.16 × 9,287.16
  4. Step 4: Simplify right side
    6,499.27x = 86,251,271.21
  5. Step 5: Solve for x
    x = 86,251,271.21/6,499.27
  6. Step 6: Final answer
    x = 13,270.93

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.