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Finding the Third Proportional to 27,272 and 40,011

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Solution

The third proportional to 27,272 and 40,011 is: 58,700.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,272 : 40,011 = 40,011 : x
  2. Step 2: Convert to fraction form
    27,272/40,011 = 40,011/x
  3. Step 3: Cross multiply
    27,272x = 40,011 × 40,011
  4. Step 4: Simplify right side
    27,272x = 1,600,880,121
  5. Step 5: Solve for x
    x = 1,600,880,121/27,272
  6. Step 6: Final answer
    x = 58,700.50

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.