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Finding the Third Proportional to 24,545 and 37,273

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Solution

The third proportional to 24,545 and 37,273 is: 56,601.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,545 : 37,273 = 37,273 : x
  2. Step 2: Convert to fraction form
    24,545/37,273 = 37,273/x
  3. Step 3: Cross multiply
    24,545x = 37,273 × 37,273
  4. Step 4: Simplify right side
    24,545x = 1,389,276,529
  5. Step 5: Solve for x
    x = 1,389,276,529/24,545
  6. Step 6: Final answer
    x = 56,601.20

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.