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Finding the Third Proportional to 16,515 and 24,773

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Solution

The third proportional to 16,515 and 24,773 is: 37,160.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,515 : 24,773 = 24,773 : x
  2. Step 2: Convert to fraction form
    16,515/24,773 = 24,773/x
  3. Step 3: Cross multiply
    16,515x = 24,773 × 24,773
  4. Step 4: Simplify right side
    16,515x = 613,701,529
  5. Step 5: Solve for x
    x = 613,701,529/16,515
  6. Step 6: Final answer
    x = 37,160.25

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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.