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Finding the Third Proportional to 2,465.28 and 5,280.84

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Solution

The third proportional to 2,465.28 and 5,280.84 is: 11,312.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,465.28 : 5,280.84 = 5,280.84 : x
  2. Step 2: Convert to fraction form
    2,465.28/5,280.84 = 5,280.84/x
  3. Step 3: Cross multiply
    2,465.28x = 5,280.84 × 5,280.84
  4. Step 4: Simplify right side
    2,465.28x = 27,887,310.71
  5. Step 5: Solve for x
    x = 27,887,310.71/2,465.28
  6. Step 6: Final answer
    x = 11,312.02

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.