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Finding the Third Proportional to 19,419 and 29,052

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Solution

The third proportional to 19,419 and 29,052 is: 43,463.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,419 : 29,052 = 29,052 : x
  2. Step 2: Convert to fraction form
    19,419/29,052 = 29,052/x
  3. Step 3: Cross multiply
    19,419x = 29,052 × 29,052
  4. Step 4: Simplify right side
    19,419x = 844,018,704
  5. Step 5: Solve for x
    x = 844,018,704/19,419
  6. Step 6: Final answer
    x = 43,463.55

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.