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Finding the Third Proportional to 27,297 and 40,983

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Solution

The third proportional to 27,297 and 40,983 is: 61,530.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,297 : 40,983 = 40,983 : x
  2. Step 2: Convert to fraction form
    27,297/40,983 = 40,983/x
  3. Step 3: Cross multiply
    27,297x = 40,983 × 40,983
  4. Step 4: Simplify right side
    27,297x = 1,679,606,289
  5. Step 5: Solve for x
    x = 1,679,606,289/27,297
  6. Step 6: Final answer
    x = 61,530.80

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.