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Finding the Third Proportional to 25,859.25 and 56,457

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Solution

The third proportional to 25,859.25 and 56,457 is: 123,259.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,859.25 : 56,457 = 56,457 : x
  2. Step 2: Convert to fraction form
    25,859.25/56,457 = 56,457/x
  3. Step 3: Cross multiply
    25,859.25x = 56,457 × 56,457
  4. Step 4: Simplify right side
    25,859.25x = 3,187,392,849
  5. Step 5: Solve for x
    x = 3,187,392,849/25,859.25
  6. Step 6: Final answer
    x = 123,259.29

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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.