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Finding the Third Proportional to 25,036 and 36,620

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Solution

The third proportional to 25,036 and 36,620 is: 53,563.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,036 : 36,620 = 36,620 : x
  2. Step 2: Convert to fraction form
    25,036/36,620 = 36,620/x
  3. Step 3: Cross multiply
    25,036x = 36,620 × 36,620
  4. Step 4: Simplify right side
    25,036x = 1,341,024,400
  5. Step 5: Solve for x
    x = 1,341,024,400/25,036
  6. Step 6: Final answer
    x = 53,563.84

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.