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Finding the Third Proportional to 19,064.50 and 41,819

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Solution

The third proportional to 19,064.50 and 41,819 is: 91,732.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,064.50 : 41,819 = 41,819 : x
  2. Step 2: Convert to fraction form
    19,064.50/41,819 = 41,819/x
  3. Step 3: Cross multiply
    19,064.50x = 41,819 × 41,819
  4. Step 4: Simplify right side
    19,064.50x = 1,748,828,761
  5. Step 5: Solve for x
    x = 1,748,828,761/19,064.50
  6. Step 6: Final answer
    x = 91,732.21

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.