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Finding the Third Proportional to 32,549.06 and 49,169.25

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Solution

The third proportional to 32,549.06 and 49,169.25 is: 74,276.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,549.06 : 49,169.25 = 49,169.25 : x
  2. Step 2: Convert to fraction form
    32,549.06/49,169.25 = 49,169.25/x
  3. Step 3: Cross multiply
    32,549.06x = 49,169.25 × 49,169.25
  4. Step 4: Simplify right side
    32,549.06x = 2,417,615,145.56
  5. Step 5: Solve for x
    x = 2,417,615,145.56/32,549.06
  6. Step 6: Final answer
    x = 74,276.03

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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.