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Finding the Third Proportional to 4,522 and 6,784

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Solution

The third proportional to 4,522 and 6,784 is: 10,177.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,522 : 6,784 = 6,784 : x
  2. Step 2: Convert to fraction form
    4,522/6,784 = 6,784/x
  3. Step 3: Cross multiply
    4,522x = 6,784 × 6,784
  4. Step 4: Simplify right side
    4,522x = 46,022,656
  5. Step 5: Solve for x
    x = 46,022,656/4,522
  6. Step 6: Final answer
    x = 10,177.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.