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Finding the Third Proportional to 27,924 and 36,702

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Solution

The third proportional to 27,924 and 36,702 is: 48,239.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,924 : 36,702 = 36,702 : x
  2. Step 2: Convert to fraction form
    27,924/36,702 = 36,702/x
  3. Step 3: Cross multiply
    27,924x = 36,702 × 36,702
  4. Step 4: Simplify right side
    27,924x = 1,347,036,804
  5. Step 5: Solve for x
    x = 1,347,036,804/27,924
  6. Step 6: Final answer
    x = 48,239.39

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.