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Finding the Third Proportional to 25,961.50 and 60,786

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Solution

The third proportional to 25,961.50 and 60,786 is: 142,323.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,961.50 : 60,786 = 60,786 : x
  2. Step 2: Convert to fraction form
    25,961.50/60,786 = 60,786/x
  3. Step 3: Cross multiply
    25,961.50x = 60,786 × 60,786
  4. Step 4: Simplify right side
    25,961.50x = 3,694,937,796
  5. Step 5: Solve for x
    x = 3,694,937,796/25,961.50
  6. Step 6: Final answer
    x = 142,323.74

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These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.