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Finding the Third Proportional to 37,773 and 49,801.50

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Solution

The third proportional to 37,773 and 49,801.50 is: 65,660.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,773 : 49,801.50 = 49,801.50 : x
  2. Step 2: Convert to fraction form
    37,773/49,801.50 = 49,801.50/x
  3. Step 3: Cross multiply
    37,773x = 49,801.50 × 49,801.50
  4. Step 4: Simplify right side
    37,773x = 2,480,189,402.25
  5. Step 5: Solve for x
    x = 2,480,189,402.25/37,773
  6. Step 6: Final answer
    x = 65,660.38

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These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.