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Finding the Third Proportional to 16,445 and 24,413

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Solution

The third proportional to 16,445 and 24,413 is: 36,241.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,445 : 24,413 = 24,413 : x
  2. Step 2: Convert to fraction form
    16,445/24,413 = 24,413/x
  3. Step 3: Cross multiply
    16,445x = 24,413 × 24,413
  4. Step 4: Simplify right side
    16,445x = 595,994,569
  5. Step 5: Solve for x
    x = 595,994,569/16,445
  6. Step 6: Final answer
    x = 36,241.69

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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.