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Finding the Third Proportional to 27,458 and 42,483

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Solution

The third proportional to 27,458 and 42,483 is: 65,729.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,458 : 42,483 = 42,483 : x
  2. Step 2: Convert to fraction form
    27,458/42,483 = 42,483/x
  3. Step 3: Cross multiply
    27,458x = 42,483 × 42,483
  4. Step 4: Simplify right side
    27,458x = 1,804,805,289
  5. Step 5: Solve for x
    x = 1,804,805,289/27,458
  6. Step 6: Final answer
    x = 65,729.67

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.