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Finding the Third Proportional to 25,977 and 56,813

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Solution

The third proportional to 25,977 and 56,813 is: 124,252.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,977 : 56,813 = 56,813 : x
  2. Step 2: Convert to fraction form
    25,977/56,813 = 56,813/x
  3. Step 3: Cross multiply
    25,977x = 56,813 × 56,813
  4. Step 4: Simplify right side
    25,977x = 3,227,716,969
  5. Step 5: Solve for x
    x = 3,227,716,969/25,977
  6. Step 6: Final answer
    x = 124,252.88

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Why These Related Problems?

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