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Finding the Third Proportional to 16,595 and 24,564

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Solution

The third proportional to 16,595 and 24,564 is: 36,359.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,595 : 24,564 = 24,564 : x
  2. Step 2: Convert to fraction form
    16,595/24,564 = 24,564/x
  3. Step 3: Cross multiply
    16,595x = 24,564 × 24,564
  4. Step 4: Simplify right side
    16,595x = 603,390,096
  5. Step 5: Solve for x
    x = 603,390,096/16,595
  6. Step 6: Final answer
    x = 36,359.75

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.