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Finding the Third Proportional to 25,822 and 56,562

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Solution

The third proportional to 25,822 and 56,562 is: 123,896.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,822 : 56,562 = 56,562 : x
  2. Step 2: Convert to fraction form
    25,822/56,562 = 56,562/x
  3. Step 3: Cross multiply
    25,822x = 56,562 × 56,562
  4. Step 4: Simplify right side
    25,822x = 3,199,259,844
  5. Step 5: Solve for x
    x = 3,199,259,844/25,822
  6. Step 6: Final answer
    x = 123,896.67

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.