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Finding the Third Proportional to 18,470.75 and 29,252.38

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Solution

The third proportional to 18,470.75 and 29,252.38 is: 46,327.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,470.75 : 29,252.38 = 29,252.38 : x
  2. Step 2: Convert to fraction form
    18,470.75/29,252.38 = 29,252.38/x
  3. Step 3: Cross multiply
    18,470.75x = 29,252.38 × 29,252.38
  4. Step 4: Simplify right side
    18,470.75x = 855,701,443.14
  5. Step 5: Solve for x
    x = 855,701,443.14/18,470.75
  6. Step 6: Final answer
    x = 46,327.38

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.