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Finding the Third Proportional to 19,042 and 27,819

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Solution

The third proportional to 19,042 and 27,819 is: 40,641.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,042 : 27,819 = 27,819 : x
  2. Step 2: Convert to fraction form
    19,042/27,819 = 27,819/x
  3. Step 3: Cross multiply
    19,042x = 27,819 × 27,819
  4. Step 4: Simplify right side
    19,042x = 773,896,761
  5. Step 5: Solve for x
    x = 773,896,761/19,042
  6. Step 6: Final answer
    x = 40,641.57

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.