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Finding the Third Proportional to 25,036 and 39,638

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Solution

The third proportional to 25,036 and 39,638 is: 62,756.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,036 : 39,638 = 39,638 : x
  2. Step 2: Convert to fraction form
    25,036/39,638 = 39,638/x
  3. Step 3: Cross multiply
    25,036x = 39,638 × 39,638
  4. Step 4: Simplify right side
    25,036x = 1,571,171,044
  5. Step 5: Solve for x
    x = 1,571,171,044/25,036
  6. Step 6: Final answer
    x = 62,756.47

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.