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Finding the Third Proportional to 16,521 and 24,786

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Solution

The third proportional to 16,521 and 24,786 is: 37,185.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,521 : 24,786 = 24,786 : x
  2. Step 2: Convert to fraction form
    16,521/24,786 = 24,786/x
  3. Step 3: Cross multiply
    16,521x = 24,786 × 24,786
  4. Step 4: Simplify right side
    16,521x = 614,345,796
  5. Step 5: Solve for x
    x = 614,345,796/16,521
  6. Step 6: Final answer
    x = 37,185.75

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.