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Finding the Third Proportional to 26,176.50 and 61,786.13

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Solution

The third proportional to 26,176.50 and 61,786.13 is: 145,837.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,176.50 : 61,786.13 = 61,786.13 : x
  2. Step 2: Convert to fraction form
    26,176.50/61,786.13 = 61,786.13/x
  3. Step 3: Cross multiply
    26,176.50x = 61,786.13 × 61,786.13
  4. Step 4: Simplify right side
    26,176.50x = 3,817,525,242.52
  5. Step 5: Solve for x
    x = 3,817,525,242.52/26,176.50
  6. Step 6: Final answer
    x = 145,837.88

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.