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Finding the Third Proportional to 25,265 and 37,407

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Solution

The third proportional to 25,265 and 37,407 is: 55,384.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,265 : 37,407 = 37,407 : x
  2. Step 2: Convert to fraction form
    25,265/37,407 = 37,407/x
  3. Step 3: Cross multiply
    25,265x = 37,407 × 37,407
  4. Step 4: Simplify right side
    25,265x = 1,399,283,649
  5. Step 5: Solve for x
    x = 1,399,283,649/25,265
  6. Step 6: Final answer
    x = 55,384.27

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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.