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Finding the Third Proportional to 16,352 and 23,864

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Solution

The third proportional to 16,352 and 23,864 is: 34,826.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,352 : 23,864 = 23,864 : x
  2. Step 2: Convert to fraction form
    16,352/23,864 = 23,864/x
  3. Step 3: Cross multiply
    16,352x = 23,864 × 23,864
  4. Step 4: Simplify right side
    16,352x = 569,490,496
  5. Step 5: Solve for x
    x = 569,490,496/16,352
  6. Step 6: Final answer
    x = 34,826.96

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.