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Finding the Third Proportional to 6,483 and 13,587

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Solution

The third proportional to 6,483 and 13,587 is: 28,475.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,483 : 13,587 = 13,587 : x
  2. Step 2: Convert to fraction form
    6,483/13,587 = 13,587/x
  3. Step 3: Cross multiply
    6,483x = 13,587 × 13,587
  4. Step 4: Simplify right side
    6,483x = 184,606,569
  5. Step 5: Solve for x
    x = 184,606,569/6,483
  6. Step 6: Final answer
    x = 28,475.48

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.