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Finding the Third Proportional to 24,520 and 36,773

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Solution

The third proportional to 24,520 and 36,773 is: 55,149.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,520 : 36,773 = 36,773 : x
  2. Step 2: Convert to fraction form
    24,520/36,773 = 36,773/x
  3. Step 3: Cross multiply
    24,520x = 36,773 × 36,773
  4. Step 4: Simplify right side
    24,520x = 1,352,253,529
  5. Step 5: Solve for x
    x = 1,352,253,529/24,520
  6. Step 6: Final answer
    x = 55,149.00

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.