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Finding the Third Proportional to 5,637 and 6,447

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Solution

The third proportional to 5,637 and 6,447 is: 7,373.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,637 : 6,447 = 6,447 : x
  2. Step 2: Convert to fraction form
    5,637/6,447 = 6,447/x
  3. Step 3: Cross multiply
    5,637x = 6,447 × 6,447
  4. Step 4: Simplify right side
    5,637x = 41,563,809
  5. Step 5: Solve for x
    x = 41,563,809/5,637
  6. Step 6: Final answer
    x = 7,373.39

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Why These Related Problems?

These problems maintain the same ratio (1.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.