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Finding the Third Proportional to 5,092 and 6,784

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Solution

The third proportional to 5,092 and 6,784 is: 9,038.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,092 : 6,784 = 6,784 : x
  2. Step 2: Convert to fraction form
    5,092/6,784 = 6,784/x
  3. Step 3: Cross multiply
    5,092x = 6,784 × 6,784
  4. Step 4: Simplify right side
    5,092x = 46,022,656
  5. Step 5: Solve for x
    x = 46,022,656/5,092
  6. Step 6: Final answer
    x = 9,038.23

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.