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Finding the Third Proportional to 25,030 and 36,375

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Solution

The third proportional to 25,030 and 36,375 is: 52,862.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,030 : 36,375 = 36,375 : x
  2. Step 2: Convert to fraction form
    25,030/36,375 = 36,375/x
  3. Step 3: Cross multiply
    25,030x = 36,375 × 36,375
  4. Step 4: Simplify right side
    25,030x = 1,323,140,625
  5. Step 5: Solve for x
    x = 1,323,140,625/25,030
  6. Step 6: Final answer
    x = 52,862.19

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.