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Finding the Third Proportional to 25,959 and 56,805

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Solution

The third proportional to 25,959 and 56,805 is: 124,304.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,959 : 56,805 = 56,805 : x
  2. Step 2: Convert to fraction form
    25,959/56,805 = 56,805/x
  3. Step 3: Cross multiply
    25,959x = 56,805 × 56,805
  4. Step 4: Simplify right side
    25,959x = 3,226,808,025
  5. Step 5: Solve for x
    x = 3,226,808,025/25,959
  6. Step 6: Final answer
    x = 124,304.02

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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.