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Finding the Third Proportional to 24,820.50 and 54,009

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Solution

The third proportional to 24,820.50 and 54,009 is: 117,522.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,820.50 : 54,009 = 54,009 : x
  2. Step 2: Convert to fraction form
    24,820.50/54,009 = 54,009/x
  3. Step 3: Cross multiply
    24,820.50x = 54,009 × 54,009
  4. Step 4: Simplify right side
    24,820.50x = 2,916,972,081
  5. Step 5: Solve for x
    x = 2,916,972,081/24,820.50
  6. Step 6: Final answer
    x = 117,522.70

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.