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Finding the Third Proportional to 24,445.50 and 46,947

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Solution

The third proportional to 24,445.50 and 46,947 is: 90,160.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,445.50 : 46,947 = 46,947 : x
  2. Step 2: Convert to fraction form
    24,445.50/46,947 = 46,947/x
  3. Step 3: Cross multiply
    24,445.50x = 46,947 × 46,947
  4. Step 4: Simplify right side
    24,445.50x = 2,204,020,809
  5. Step 5: Solve for x
    x = 2,204,020,809/24,445.50
  6. Step 6: Final answer
    x = 90,160.59

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Why These Related Problems?

These problems maintain the same ratio (1.92) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.