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Finding the Third Proportional to 25,127 and 44,695

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Solution

The third proportional to 25,127 and 44,695 is: 79,501.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,127 : 44,695 = 44,695 : x
  2. Step 2: Convert to fraction form
    25,127/44,695 = 44,695/x
  3. Step 3: Cross multiply
    25,127x = 44,695 × 44,695
  4. Step 4: Simplify right side
    25,127x = 1,997,643,025
  5. Step 5: Solve for x
    x = 1,997,643,025/25,127
  6. Step 6: Final answer
    x = 79,501.85

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Why These Related Problems?

These problems maintain the same ratio (1.78) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.