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Finding the Third Proportional to 25,854 and 56,946

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Solution

The third proportional to 25,854 and 56,946 is: 125,429.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,854 : 56,946 = 56,946 : x
  2. Step 2: Convert to fraction form
    25,854/56,946 = 56,946/x
  3. Step 3: Cross multiply
    25,854x = 56,946 × 56,946
  4. Step 4: Simplify right side
    25,854x = 3,242,846,916
  5. Step 5: Solve for x
    x = 3,242,846,916/25,854
  6. Step 6: Final answer
    x = 125,429.21

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.