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Finding the Third Proportional to 24,981.75 and 53,669.25

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Solution

The third proportional to 24,981.75 and 53,669.25 is: 115,299.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,981.75 : 53,669.25 = 53,669.25 : x
  2. Step 2: Convert to fraction form
    24,981.75/53,669.25 = 53,669.25/x
  3. Step 3: Cross multiply
    24,981.75x = 53,669.25 × 53,669.25
  4. Step 4: Simplify right side
    24,981.75x = 2,880,388,395.56
  5. Step 5: Solve for x
    x = 2,880,388,395.56/24,981.75
  6. Step 6: Final answer
    x = 115,299.70

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.