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Finding the Third Proportional to 25,237.50 and 36,757.50

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Solution

The third proportional to 25,237.50 and 36,757.50 is: 53,535.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,237.50 : 36,757.50 = 36,757.50 : x
  2. Step 2: Convert to fraction form
    25,237.50/36,757.50 = 36,757.50/x
  3. Step 3: Cross multiply
    25,237.50x = 36,757.50 × 36,757.50
  4. Step 4: Simplify right side
    25,237.50x = 1,351,113,806.25
  5. Step 5: Solve for x
    x = 1,351,113,806.25/25,237.50
  6. Step 6: Final answer
    x = 53,535.96

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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.