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Finding the Third Proportional to 19,826 and 29,191

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Solution

The third proportional to 19,826 and 29,191 is: 42,979.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,826 : 29,191 = 29,191 : x
  2. Step 2: Convert to fraction form
    19,826/29,191 = 29,191/x
  3. Step 3: Cross multiply
    19,826x = 29,191 × 29,191
  4. Step 4: Simplify right side
    19,826x = 852,114,481
  5. Step 5: Solve for x
    x = 852,114,481/19,826
  6. Step 6: Final answer
    x = 42,979.65

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.