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Finding the Third Proportional to 37,753 and 52,809.50

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Solution

The third proportional to 37,753 and 52,809.50 is: 73,870.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,753 : 52,809.50 = 52,809.50 : x
  2. Step 2: Convert to fraction form
    37,753/52,809.50 = 52,809.50/x
  3. Step 3: Cross multiply
    37,753x = 52,809.50 × 52,809.50
  4. Step 4: Simplify right side
    37,753x = 2,788,843,290.25
  5. Step 5: Solve for x
    x = 2,788,843,290.25/37,753
  6. Step 6: Final answer
    x = 73,870.77

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.