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Finding the Third Proportional to 7,560.84 and 10,797.05

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Solution

The third proportional to 7,560.84 and 10,797.05 is: 15,418.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,560.84 : 10,797.05 = 10,797.05 : x
  2. Step 2: Convert to fraction form
    7,560.84/10,797.05 = 10,797.05/x
  3. Step 3: Cross multiply
    7,560.84x = 10,797.05 × 10,797.05
  4. Step 4: Simplify right side
    7,560.84x = 116,576,221.22
  5. Step 5: Solve for x
    x = 116,576,221.22/7,560.84
  6. Step 6: Final answer
    x = 15,418.41

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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.