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Finding the Third Proportional to 6,308.16 and 9,795.38

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Solution

The third proportional to 6,308.16 and 9,795.38 is: 15,210.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,308.16 : 9,795.38 = 9,795.38 : x
  2. Step 2: Convert to fraction form
    6,308.16/9,795.38 = 9,795.38/x
  3. Step 3: Cross multiply
    6,308.16x = 9,795.38 × 9,795.38
  4. Step 4: Simplify right side
    6,308.16x = 95,949,371.39
  5. Step 5: Solve for x
    x = 95,949,371.39/6,308.16
  6. Step 6: Final answer
    x = 15,210.37

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.