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Finding the Third Proportional to 24,485 and 51,850

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Solution

The third proportional to 24,485 and 51,850 is: 109,798.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,485 : 51,850 = 51,850 : x
  2. Step 2: Convert to fraction form
    24,485/51,850 = 51,850/x
  3. Step 3: Cross multiply
    24,485x = 51,850 × 51,850
  4. Step 4: Simplify right side
    24,485x = 2,688,422,500
  5. Step 5: Solve for x
    x = 2,688,422,500/24,485
  6. Step 6: Final answer
    x = 109,798.75

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.