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Finding the Third Proportional to 24,917.63 and 52,650

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Solution

The third proportional to 24,917.63 and 52,650 is: 111,247.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,917.63 : 52,650 = 52,650 : x
  2. Step 2: Convert to fraction form
    24,917.63/52,650 = 52,650/x
  3. Step 3: Cross multiply
    24,917.63x = 52,650 × 52,650
  4. Step 4: Simplify right side
    24,917.63x = 2,772,022,500
  5. Step 5: Solve for x
    x = 2,772,022,500/24,917.63
  6. Step 6: Final answer
    x = 111,247.46

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.