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Finding the Third Proportional to 30,897 and 43,771.50

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Solution

The third proportional to 30,897 and 43,771.50 is: 62,010.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,897 : 43,771.50 = 43,771.50 : x
  2. Step 2: Convert to fraction form
    30,897/43,771.50 = 43,771.50/x
  3. Step 3: Cross multiply
    30,897x = 43,771.50 × 43,771.50
  4. Step 4: Simplify right side
    30,897x = 1,915,944,212.25
  5. Step 5: Solve for x
    x = 1,915,944,212.25/30,897
  6. Step 6: Final answer
    x = 62,010.69

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These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.