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Finding the Third Proportional to 24,555.50 and 37,039

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Solution

The third proportional to 24,555.50 and 37,039 is: 55,868.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,555.50 : 37,039 = 37,039 : x
  2. Step 2: Convert to fraction form
    24,555.50/37,039 = 37,039/x
  3. Step 3: Cross multiply
    24,555.50x = 37,039 × 37,039
  4. Step 4: Simplify right side
    24,555.50x = 1,371,887,521
  5. Step 5: Solve for x
    x = 1,371,887,521/24,555.50
  6. Step 6: Final answer
    x = 55,868.85

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.