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Finding the Third Proportional to 16,458 and 24,705

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Solution

The third proportional to 16,458 and 24,705 is: 37,084.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,458 : 24,705 = 24,705 : x
  2. Step 2: Convert to fraction form
    16,458/24,705 = 24,705/x
  3. Step 3: Cross multiply
    16,458x = 24,705 × 24,705
  4. Step 4: Simplify right side
    16,458x = 610,337,025
  5. Step 5: Solve for x
    x = 610,337,025/16,458
  6. Step 6: Final answer
    x = 37,084.52

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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.