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Finding the Third Proportional to 4,681.75 and 9,940.75

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Solution

The third proportional to 4,681.75 and 9,940.75 is: 21,107.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,681.75 : 9,940.75 = 9,940.75 : x
  2. Step 2: Convert to fraction form
    4,681.75/9,940.75 = 9,940.75/x
  3. Step 3: Cross multiply
    4,681.75x = 9,940.75 × 9,940.75
  4. Step 4: Simplify right side
    4,681.75x = 98,818,510.56
  5. Step 5: Solve for x
    x = 98,818,510.56/4,681.75
  6. Step 6: Final answer
    x = 21,107.17

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.