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Finding the Third Proportional to 6,935.63 and 9,542.81

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Solution

The third proportional to 6,935.63 and 9,542.81 is: 13,130.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,935.63 : 9,542.81 = 9,542.81 : x
  2. Step 2: Convert to fraction form
    6,935.63/9,542.81 = 9,542.81/x
  3. Step 3: Cross multiply
    6,935.63x = 9,542.81 × 9,542.81
  4. Step 4: Simplify right side
    6,935.63x = 91,065,270.41
  5. Step 5: Solve for x
    x = 91,065,270.41/6,935.63
  6. Step 6: Final answer
    x = 13,130.07

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.