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Finding the Third Proportional to 27,925 and 42,653

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Solution

The third proportional to 27,925 and 42,653 is: 65,148.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,925 : 42,653 = 42,653 : x
  2. Step 2: Convert to fraction form
    27,925/42,653 = 42,653/x
  3. Step 3: Cross multiply
    27,925x = 42,653 × 42,653
  4. Step 4: Simplify right side
    27,925x = 1,819,278,409
  5. Step 5: Solve for x
    x = 1,819,278,409/27,925
  6. Step 6: Final answer
    x = 65,148.73

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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.