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Finding the Third Proportional to 25,675 and 37,623

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Solution

The third proportional to 25,675 and 37,623 is: 55,131.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,675 : 37,623 = 37,623 : x
  2. Step 2: Convert to fraction form
    25,675/37,623 = 37,623/x
  3. Step 3: Cross multiply
    25,675x = 37,623 × 37,623
  4. Step 4: Simplify right side
    25,675x = 1,415,490,129
  5. Step 5: Solve for x
    x = 1,415,490,129/25,675
  6. Step 6: Final answer
    x = 55,131.07

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.