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Finding the Third Proportional to 19,368 and 29,906.25

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Solution

The third proportional to 19,368 and 29,906.25 is: 46,178.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,368 : 29,906.25 = 29,906.25 : x
  2. Step 2: Convert to fraction form
    19,368/29,906.25 = 29,906.25/x
  3. Step 3: Cross multiply
    19,368x = 29,906.25 × 29,906.25
  4. Step 4: Simplify right side
    19,368x = 894,383,789.06
  5. Step 5: Solve for x
    x = 894,383,789.06/19,368
  6. Step 6: Final answer
    x = 46,178.43

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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.