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Finding the Third Proportional to 19,125.75 and 41,430

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Solution

The third proportional to 19,125.75 and 41,430 is: 89,745.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,125.75 : 41,430 = 41,430 : x
  2. Step 2: Convert to fraction form
    19,125.75/41,430 = 41,430/x
  3. Step 3: Cross multiply
    19,125.75x = 41,430 × 41,430
  4. Step 4: Simplify right side
    19,125.75x = 1,716,444,900
  5. Step 5: Solve for x
    x = 1,716,444,900/19,125.75
  6. Step 6: Final answer
    x = 89,745.23

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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.