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Finding the Third Proportional to 19,359 and 41,446.69

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Solution

The third proportional to 19,359 and 41,446.69 is: 88,735.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,359 : 41,446.69 = 41,446.69 : x
  2. Step 2: Convert to fraction form
    19,359/41,446.69 = 41,446.69/x
  3. Step 3: Cross multiply
    19,359x = 41,446.69 × 41,446.69
  4. Step 4: Simplify right side
    19,359x = 1,717,827,904.72
  5. Step 5: Solve for x
    x = 1,717,827,904.72/19,359
  6. Step 6: Final answer
    x = 88,735.36

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.