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Finding the Third Proportional to 6,969.64 and 9,935.47

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Solution

The third proportional to 6,969.64 and 9,935.47 is: 14,163.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,969.64 : 9,935.47 = 9,935.47 : x
  2. Step 2: Convert to fraction form
    6,969.64/9,935.47 = 9,935.47/x
  3. Step 3: Cross multiply
    6,969.64x = 9,935.47 × 9,935.47
  4. Step 4: Simplify right side
    6,969.64x = 98,713,616.90
  5. Step 5: Solve for x
    x = 98,713,616.90/6,969.64
  6. Step 6: Final answer
    x = 14,163.38

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Why These Related Problems?

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