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Finding the Third Proportional to 25,969 and 56,494

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Solution

The third proportional to 25,969 and 56,494 is: 122,899.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,969 : 56,494 = 56,494 : x
  2. Step 2: Convert to fraction form
    25,969/56,494 = 56,494/x
  3. Step 3: Cross multiply
    25,969x = 56,494 × 56,494
  4. Step 4: Simplify right side
    25,969x = 3,191,572,036
  5. Step 5: Solve for x
    x = 3,191,572,036/25,969
  6. Step 6: Final answer
    x = 122,899.30

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.