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Finding the Third Proportional to 25,704 and 40,894

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Solution

The third proportional to 25,704 and 40,894 is: 65,060.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,704 : 40,894 = 40,894 : x
  2. Step 2: Convert to fraction form
    25,704/40,894 = 40,894/x
  3. Step 3: Cross multiply
    25,704x = 40,894 × 40,894
  4. Step 4: Simplify right side
    25,704x = 1,672,319,236
  5. Step 5: Solve for x
    x = 1,672,319,236/25,704
  6. Step 6: Final answer
    x = 65,060.66

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.