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Finding the Third Proportional to 19,224.84 and 41,607.84

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Solution

The third proportional to 19,224.84 and 41,607.84 is: 90,050.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,224.84 : 41,607.84 = 41,607.84 : x
  2. Step 2: Convert to fraction form
    19,224.84/41,607.84 = 41,607.84/x
  3. Step 3: Cross multiply
    19,224.84x = 41,607.84 × 41,607.84
  4. Step 4: Simplify right side
    19,224.84x = 1,731,212,661.52
  5. Step 5: Solve for x
    x = 1,731,212,661.52/19,224.84
  6. Step 6: Final answer
    x = 90,050.81

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.