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Finding the Third Proportional to 24,078 and 52,905

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Solution

The third proportional to 24,078 and 52,905 is: 116,244.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,078 : 52,905 = 52,905 : x
  2. Step 2: Convert to fraction form
    24,078/52,905 = 52,905/x
  3. Step 3: Cross multiply
    24,078x = 52,905 × 52,905
  4. Step 4: Simplify right side
    24,078x = 2,798,939,025
  5. Step 5: Solve for x
    x = 2,798,939,025/24,078
  6. Step 6: Final answer
    x = 116,244.66

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.