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Finding the Third Proportional to 27,216 and 43,011

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Solution

The third proportional to 27,216 and 43,011 is: 67,972.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,216 : 43,011 = 43,011 : x
  2. Step 2: Convert to fraction form
    27,216/43,011 = 43,011/x
  3. Step 3: Cross multiply
    27,216x = 43,011 × 43,011
  4. Step 4: Simplify right side
    27,216x = 1,849,946,121
  5. Step 5: Solve for x
    x = 1,849,946,121/27,216
  6. Step 6: Final answer
    x = 67,972.74

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.