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Finding the Third Proportional to 19,252.69 and 29,873.81

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Solution

The third proportional to 19,252.69 and 29,873.81 is: 46,354.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,252.69 : 29,873.81 = 29,873.81 : x
  2. Step 2: Convert to fraction form
    19,252.69/29,873.81 = 29,873.81/x
  3. Step 3: Cross multiply
    19,252.69x = 29,873.81 × 29,873.81
  4. Step 4: Simplify right side
    19,252.69x = 892,444,673.29
  5. Step 5: Solve for x
    x = 892,444,673.29/19,252.69
  6. Step 6: Final answer
    x = 46,354.29

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.