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Finding the Third Proportional to 25,800 and 56,295

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Solution

The third proportional to 25,800 and 56,295 is: 122,834.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,800 : 56,295 = 56,295 : x
  2. Step 2: Convert to fraction form
    25,800/56,295 = 56,295/x
  3. Step 3: Cross multiply
    25,800x = 56,295 × 56,295
  4. Step 4: Simplify right side
    25,800x = 3,169,127,025
  5. Step 5: Solve for x
    x = 3,169,127,025/25,800
  6. Step 6: Final answer
    x = 122,834.38

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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.