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Finding the Third Proportional to 15,816 and 23,826

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Solution

The third proportional to 15,816 and 23,826 is: 35,892.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,816 : 23,826 = 23,826 : x
  2. Step 2: Convert to fraction form
    15,816/23,826 = 23,826/x
  3. Step 3: Cross multiply
    15,816x = 23,826 × 23,826
  4. Step 4: Simplify right side
    15,816x = 567,678,276
  5. Step 5: Solve for x
    x = 567,678,276/15,816
  6. Step 6: Final answer
    x = 35,892.66

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.