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Finding the Third Proportional to 25,708 and 52,131.50

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Solution

The third proportional to 25,708 and 52,131.50 is: 105,713.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,708 : 52,131.50 = 52,131.50 : x
  2. Step 2: Convert to fraction form
    25,708/52,131.50 = 52,131.50/x
  3. Step 3: Cross multiply
    25,708x = 52,131.50 × 52,131.50
  4. Step 4: Simplify right side
    25,708x = 2,717,693,292.25
  5. Step 5: Solve for x
    x = 2,717,693,292.25/25,708
  6. Step 6: Final answer
    x = 105,713.91

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.