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Finding the Third Proportional to 32,491 and 49,090.50

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Solution

The third proportional to 32,491 and 49,090.50 is: 74,170.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,491 : 49,090.50 = 49,090.50 : x
  2. Step 2: Convert to fraction form
    32,491/49,090.50 = 49,090.50/x
  3. Step 3: Cross multiply
    32,491x = 49,090.50 × 49,090.50
  4. Step 4: Simplify right side
    32,491x = 2,409,877,190.25
  5. Step 5: Solve for x
    x = 2,409,877,190.25/32,491
  6. Step 6: Final answer
    x = 74,170.61

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.