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Finding the Third Proportional to 25,062 and 36,630

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Solution

The third proportional to 25,062 and 36,630 is: 53,537.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,062 : 36,630 = 36,630 : x
  2. Step 2: Convert to fraction form
    25,062/36,630 = 36,630/x
  3. Step 3: Cross multiply
    25,062x = 36,630 × 36,630
  4. Step 4: Simplify right side
    25,062x = 1,341,756,900
  5. Step 5: Solve for x
    x = 1,341,756,900/25,062
  6. Step 6: Final answer
    x = 53,537.50

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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.