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Finding the Third Proportional to 5,681 and 6,293

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Solution

The third proportional to 5,681 and 6,293 is: 6,970.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,681 : 6,293 = 6,293 : x
  2. Step 2: Convert to fraction form
    5,681/6,293 = 6,293/x
  3. Step 3: Cross multiply
    5,681x = 6,293 × 6,293
  4. Step 4: Simplify right side
    5,681x = 39,601,849
  5. Step 5: Solve for x
    x = 39,601,849/5,681
  6. Step 6: Final answer
    x = 6,970.93

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Why These Related Problems?

These problems maintain the same ratio (1.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.