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Finding the Third Proportional to 19,257.75 and 40,451.91

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Solution

The third proportional to 19,257.75 and 40,451.91 is: 84,971.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,257.75 : 40,451.91 = 40,451.91 : x
  2. Step 2: Convert to fraction form
    19,257.75/40,451.91 = 40,451.91/x
  3. Step 3: Cross multiply
    19,257.75x = 40,451.91 × 40,451.91
  4. Step 4: Simplify right side
    19,257.75x = 1,636,356,719.26
  5. Step 5: Solve for x
    x = 1,636,356,719.26/19,257.75
  6. Step 6: Final answer
    x = 84,971.33

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.