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Finding the Third Proportional to 19,569 and 45,156

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Solution

The third proportional to 19,569 and 45,156 is: 104,198.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,569 : 45,156 = 45,156 : x
  2. Step 2: Convert to fraction form
    19,569/45,156 = 45,156/x
  3. Step 3: Cross multiply
    19,569x = 45,156 × 45,156
  4. Step 4: Simplify right side
    19,569x = 2,039,064,336
  5. Step 5: Solve for x
    x = 2,039,064,336/19,569
  6. Step 6: Final answer
    x = 104,198.70

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.