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Finding the Third Proportional to 27,263 and 42,101

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Solution

The third proportional to 27,263 and 42,101 is: 65,014.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,263 : 42,101 = 42,101 : x
  2. Step 2: Convert to fraction form
    27,263/42,101 = 42,101/x
  3. Step 3: Cross multiply
    27,263x = 42,101 × 42,101
  4. Step 4: Simplify right side
    27,263x = 1,772,494,201
  5. Step 5: Solve for x
    x = 1,772,494,201/27,263
  6. Step 6: Final answer
    x = 65,014.64

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.