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Finding the Third Proportional to 4,411.13 and 6,825.09

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Solution

The third proportional to 4,411.13 and 6,825.09 is: 10,560.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,411.13 : 6,825.09 = 6,825.09 : x
  2. Step 2: Convert to fraction form
    4,411.13/6,825.09 = 6,825.09/x
  3. Step 3: Cross multiply
    4,411.13x = 6,825.09 × 6,825.09
  4. Step 4: Simplify right side
    4,411.13x = 46,581,904.70
  5. Step 5: Solve for x
    x = 46,581,904.70/4,411.13
  6. Step 6: Final answer
    x = 10,560.10

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.