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Finding the Third Proportional to 16,573 and 24,370

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Solution

The third proportional to 16,573 and 24,370 is: 35,835.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,573 : 24,370 = 24,370 : x
  2. Step 2: Convert to fraction form
    16,573/24,370 = 24,370/x
  3. Step 3: Cross multiply
    16,573x = 24,370 × 24,370
  4. Step 4: Simplify right side
    16,573x = 593,896,900
  5. Step 5: Solve for x
    x = 593,896,900/16,573
  6. Step 6: Final answer
    x = 35,835.21

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.