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Finding the Third Proportional to 17,363 and 28,529

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Solution

The third proportional to 17,363 and 28,529 is: 46,875.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,363 : 28,529 = 28,529 : x
  2. Step 2: Convert to fraction form
    17,363/28,529 = 28,529/x
  3. Step 3: Cross multiply
    17,363x = 28,529 × 28,529
  4. Step 4: Simplify right side
    17,363x = 813,903,841
  5. Step 5: Solve for x
    x = 813,903,841/17,363
  6. Step 6: Final answer
    x = 46,875.76

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Why These Related Problems?

These problems maintain the same ratio (1.64) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.