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Finding the Third Proportional to 6,981.19 and 9,765.56

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Solution

The third proportional to 6,981.19 and 9,765.56 is: 13,660.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,981.19 : 9,765.56 = 9,765.56 : x
  2. Step 2: Convert to fraction form
    6,981.19/9,765.56 = 9,765.56/x
  3. Step 3: Cross multiply
    6,981.19x = 9,765.56 × 9,765.56
  4. Step 4: Simplify right side
    6,981.19x = 95,366,210.94
  5. Step 5: Solve for x
    x = 95,366,210.94/6,981.19
  6. Step 6: Final answer
    x = 13,660.46

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.