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Finding the Third Proportional to 37,041 and 52,930.50

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Solution

The third proportional to 37,041 and 52,930.50 is: 75,636.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,041 : 52,930.50 = 52,930.50 : x
  2. Step 2: Convert to fraction form
    37,041/52,930.50 = 52,930.50/x
  3. Step 3: Cross multiply
    37,041x = 52,930.50 × 52,930.50
  4. Step 4: Simplify right side
    37,041x = 2,801,637,830.25
  5. Step 5: Solve for x
    x = 2,801,637,830.25/37,041
  6. Step 6: Final answer
    x = 75,636.13

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.