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Finding the Third Proportional to 24,340 and 53,064

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Solution

The third proportional to 24,340 and 53,064 is: 115,685.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,340 : 53,064 = 53,064 : x
  2. Step 2: Convert to fraction form
    24,340/53,064 = 53,064/x
  3. Step 3: Cross multiply
    24,340x = 53,064 × 53,064
  4. Step 4: Simplify right side
    24,340x = 2,815,788,096
  5. Step 5: Solve for x
    x = 2,815,788,096/24,340
  6. Step 6: Final answer
    x = 115,685.62

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.