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Finding the Third Proportional to 16,523 and 24,804

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Solution

The third proportional to 16,523 and 24,804 is: 37,235.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,523 : 24,804 = 24,804 : x
  2. Step 2: Convert to fraction form
    16,523/24,804 = 24,804/x
  3. Step 3: Cross multiply
    16,523x = 24,804 × 24,804
  4. Step 4: Simplify right side
    16,523x = 615,238,416
  5. Step 5: Solve for x
    x = 615,238,416/16,523
  6. Step 6: Final answer
    x = 37,235.27

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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.