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Finding the Third Proportional to 25,854 and 37,275

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Solution

The third proportional to 25,854 and 37,275 is: 53,741.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,854 : 37,275 = 37,275 : x
  2. Step 2: Convert to fraction form
    25,854/37,275 = 37,275/x
  3. Step 3: Cross multiply
    25,854x = 37,275 × 37,275
  4. Step 4: Simplify right side
    25,854x = 1,389,425,625
  5. Step 5: Solve for x
    x = 1,389,425,625/25,854
  6. Step 6: Final answer
    x = 53,741.22

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.