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Finding the Third Proportional to 19,359 and 41,968.13

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Solution

The third proportional to 19,359 and 41,968.13 is: 90,982.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,359 : 41,968.13 = 41,968.13 : x
  2. Step 2: Convert to fraction form
    19,359/41,968.13 = 41,968.13/x
  3. Step 3: Cross multiply
    19,359x = 41,968.13 × 41,968.13
  4. Step 4: Simplify right side
    19,359x = 1,761,323,516.02
  5. Step 5: Solve for x
    x = 1,761,323,516.02/19,359
  6. Step 6: Final answer
    x = 90,982.15

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.