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Finding the Third Proportional to 24,627.75 and 39,003

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Solution

The third proportional to 24,627.75 and 39,003 is: 61,769.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,627.75 : 39,003 = 39,003 : x
  2. Step 2: Convert to fraction form
    24,627.75/39,003 = 39,003/x
  3. Step 3: Cross multiply
    24,627.75x = 39,003 × 39,003
  4. Step 4: Simplify right side
    24,627.75x = 1,521,234,009
  5. Step 5: Solve for x
    x = 1,521,234,009/24,627.75
  6. Step 6: Final answer
    x = 61,769.10

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.