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Finding the Third Proportional to 24,784 and 53,096

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Solution

The third proportional to 24,784 and 53,096 is: 113,750.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,784 : 53,096 = 53,096 : x
  2. Step 2: Convert to fraction form
    24,784/53,096 = 53,096/x
  3. Step 3: Cross multiply
    24,784x = 53,096 × 53,096
  4. Step 4: Simplify right side
    24,784x = 2,819,185,216
  5. Step 5: Solve for x
    x = 2,819,185,216/24,784
  6. Step 6: Final answer
    x = 113,750.21

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.