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Finding the Third Proportional to 25,723 and 56,370

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Solution

The third proportional to 25,723 and 56,370 is: 123,530.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,723 : 56,370 = 56,370 : x
  2. Step 2: Convert to fraction form
    25,723/56,370 = 56,370/x
  3. Step 3: Cross multiply
    25,723x = 56,370 × 56,370
  4. Step 4: Simplify right side
    25,723x = 3,177,576,900
  5. Step 5: Solve for x
    x = 3,177,576,900/25,723
  6. Step 6: Final answer
    x = 123,530.57

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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.