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Finding the Third Proportional to 13,497 and 28,983

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Solution

The third proportional to 13,497 and 28,983 is: 62,237.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,497 : 28,983 = 28,983 : x
  2. Step 2: Convert to fraction form
    13,497/28,983 = 28,983/x
  3. Step 3: Cross multiply
    13,497x = 28,983 × 28,983
  4. Step 4: Simplify right side
    13,497x = 840,014,289
  5. Step 5: Solve for x
    x = 840,014,289/13,497
  6. Step 6: Final answer
    x = 62,237.11

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.