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Finding the Third Proportional to 32,504.63 and 67,586.06

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Solution

The third proportional to 32,504.63 and 67,586.06 is: 140,530.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,504.63 : 67,586.06 = 67,586.06 : x
  2. Step 2: Convert to fraction form
    32,504.63/67,586.06 = 67,586.06/x
  3. Step 3: Cross multiply
    32,504.63x = 67,586.06 × 67,586.06
  4. Step 4: Simplify right side
    32,504.63x = 4,567,875,844.25
  5. Step 5: Solve for x
    x = 4,567,875,844.25/32,504.63
  6. Step 6: Final answer
    x = 140,530.03

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These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.