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Finding the Third Proportional to 16,454 and 24,693

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Solution

The third proportional to 16,454 and 24,693 is: 37,057.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,454 : 24,693 = 24,693 : x
  2. Step 2: Convert to fraction form
    16,454/24,693 = 24,693/x
  3. Step 3: Cross multiply
    16,454x = 24,693 × 24,693
  4. Step 4: Simplify right side
    16,454x = 609,744,249
  5. Step 5: Solve for x
    x = 609,744,249/16,454
  6. Step 6: Final answer
    x = 37,057.51

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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.