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Finding the Third Proportional to 25,828 and 38,310

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Solution

The third proportional to 25,828 and 38,310 is: 56,824.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,828 : 38,310 = 38,310 : x
  2. Step 2: Convert to fraction form
    25,828/38,310 = 38,310/x
  3. Step 3: Cross multiply
    25,828x = 38,310 × 38,310
  4. Step 4: Simplify right side
    25,828x = 1,467,656,100
  5. Step 5: Solve for x
    x = 1,467,656,100/25,828
  6. Step 6: Final answer
    x = 56,824.23

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.