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Finding the Third Proportional to 21,084 and 29,826

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Solution

The third proportional to 21,084 and 29,826 is: 42,192.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,084 : 29,826 = 29,826 : x
  2. Step 2: Convert to fraction form
    21,084/29,826 = 29,826/x
  3. Step 3: Cross multiply
    21,084x = 29,826 × 29,826
  4. Step 4: Simplify right side
    21,084x = 889,590,276
  5. Step 5: Solve for x
    x = 889,590,276/21,084
  6. Step 6: Final answer
    x = 42,192.67

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.