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Finding the Third Proportional to 27,942 and 42,750

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Solution

The third proportional to 27,942 and 42,750 is: 65,405.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,942 : 42,750 = 42,750 : x
  2. Step 2: Convert to fraction form
    27,942/42,750 = 42,750/x
  3. Step 3: Cross multiply
    27,942x = 42,750 × 42,750
  4. Step 4: Simplify right side
    27,942x = 1,827,562,500
  5. Step 5: Solve for x
    x = 1,827,562,500/27,942
  6. Step 6: Final answer
    x = 65,405.57

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.