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Finding the Third Proportional to 6,535.37 and 9,495.51

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Solution

The third proportional to 6,535.37 and 9,495.51 is: 13,796.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,535.37 : 9,495.51 = 9,495.51 : x
  2. Step 2: Convert to fraction form
    6,535.37/9,495.51 = 9,495.51/x
  3. Step 3: Cross multiply
    6,535.37x = 9,495.51 × 9,495.51
  4. Step 4: Simplify right side
    6,535.37x = 90,164,705.71
  5. Step 5: Solve for x
    x = 90,164,705.71/6,535.37
  6. Step 6: Final answer
    x = 13,796.42

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These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.