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Finding the Third Proportional to 27,324 and 41,970

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Solution

The third proportional to 27,324 and 41,970 is: 64,466.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,324 : 41,970 = 41,970 : x
  2. Step 2: Convert to fraction form
    27,324/41,970 = 41,970/x
  3. Step 3: Cross multiply
    27,324x = 41,970 × 41,970
  4. Step 4: Simplify right side
    27,324x = 1,761,480,900
  5. Step 5: Solve for x
    x = 1,761,480,900/27,324
  6. Step 6: Final answer
    x = 64,466.44

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.