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Finding the Third Proportional to 24,214.50 and 52,947

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Solution

The third proportional to 24,214.50 and 52,947 is: 115,772.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,214.50 : 52,947 = 52,947 : x
  2. Step 2: Convert to fraction form
    24,214.50/52,947 = 52,947/x
  3. Step 3: Cross multiply
    24,214.50x = 52,947 × 52,947
  4. Step 4: Simplify right side
    24,214.50x = 2,803,384,809
  5. Step 5: Solve for x
    x = 2,803,384,809/24,214.50
  6. Step 6: Final answer
    x = 115,772.98

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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.