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Finding the Third Proportional to 24,847.75 and 53,246

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Solution

The third proportional to 24,847.75 and 53,246 is: 114,100.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,847.75 : 53,246 = 53,246 : x
  2. Step 2: Convert to fraction form
    24,847.75/53,246 = 53,246/x
  3. Step 3: Cross multiply
    24,847.75x = 53,246 × 53,246
  4. Step 4: Simplify right side
    24,847.75x = 2,835,136,516
  5. Step 5: Solve for x
    x = 2,835,136,516/24,847.75
  6. Step 6: Final answer
    x = 114,100.33

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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.