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Finding the Third Proportional to 27,110 and 42,582

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Solution

The third proportional to 27,110 and 42,582 is: 66,884.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,110 : 42,582 = 42,582 : x
  2. Step 2: Convert to fraction form
    27,110/42,582 = 42,582/x
  3. Step 3: Cross multiply
    27,110x = 42,582 × 42,582
  4. Step 4: Simplify right side
    27,110x = 1,813,226,724
  5. Step 5: Solve for x
    x = 1,813,226,724/27,110
  6. Step 6: Final answer
    x = 66,884.05

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.