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Finding the Third Proportional to 28,744.50 and 62,835

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Solution

The third proportional to 28,744.50 and 62,835 is: 137,356.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,744.50 : 62,835 = 62,835 : x
  2. Step 2: Convert to fraction form
    28,744.50/62,835 = 62,835/x
  3. Step 3: Cross multiply
    28,744.50x = 62,835 × 62,835
  4. Step 4: Simplify right side
    28,744.50x = 3,948,237,225
  5. Step 5: Solve for x
    x = 3,948,237,225/28,744.50
  6. Step 6: Final answer
    x = 137,356.27

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.