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Finding the Third Proportional to 19,141 and 29,559

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Solution

The third proportional to 19,141 and 29,559 is: 45,647.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,141 : 29,559 = 29,559 : x
  2. Step 2: Convert to fraction form
    19,141/29,559 = 29,559/x
  3. Step 3: Cross multiply
    19,141x = 29,559 × 29,559
  4. Step 4: Simplify right side
    19,141x = 873,734,481
  5. Step 5: Solve for x
    x = 873,734,481/19,141
  6. Step 6: Final answer
    x = 45,647.27

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.