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Finding the Third Proportional to 16,158 and 21,826

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Solution

The third proportional to 16,158 and 21,826 is: 29,482.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,158 : 21,826 = 21,826 : x
  2. Step 2: Convert to fraction form
    16,158/21,826 = 21,826/x
  3. Step 3: Cross multiply
    16,158x = 21,826 × 21,826
  4. Step 4: Simplify right side
    16,158x = 476,374,276
  5. Step 5: Solve for x
    x = 476,374,276/16,158
  6. Step 6: Final answer
    x = 29,482.25

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.