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Finding the Third Proportional to 19,391.12 and 29,951.65

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Solution

The third proportional to 19,391.12 and 29,951.65 is: 46,263.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,391.12 : 29,951.65 = 29,951.65 : x
  2. Step 2: Convert to fraction form
    19,391.12/29,951.65 = 29,951.65/x
  3. Step 3: Cross multiply
    19,391.12x = 29,951.65 × 29,951.65
  4. Step 4: Simplify right side
    19,391.12x = 897,101,244.12
  5. Step 5: Solve for x
    x = 897,101,244.12/19,391.12
  6. Step 6: Final answer
    x = 46,263.52

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.