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Finding the Third Proportional to 24,820 and 53,850

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Solution

The third proportional to 24,820 and 53,850 is: 116,834.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,820 : 53,850 = 53,850 : x
  2. Step 2: Convert to fraction form
    24,820/53,850 = 53,850/x
  3. Step 3: Cross multiply
    24,820x = 53,850 × 53,850
  4. Step 4: Simplify right side
    24,820x = 2,899,822,500
  5. Step 5: Solve for x
    x = 2,899,822,500/24,820
  6. Step 6: Final answer
    x = 116,834.11

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.