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Finding the Third Proportional to 27,300 and 40,848

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Solution

The third proportional to 27,300 and 40,848 is: 61,119.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,300 : 40,848 = 40,848 : x
  2. Step 2: Convert to fraction form
    27,300/40,848 = 40,848/x
  3. Step 3: Cross multiply
    27,300x = 40,848 × 40,848
  4. Step 4: Simplify right side
    27,300x = 1,668,559,104
  5. Step 5: Solve for x
    x = 1,668,559,104/27,300
  6. Step 6: Final answer
    x = 61,119.38

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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.