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Finding the Third Proportional to 28,580.06 and 65,732.91

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Solution

The third proportional to 28,580.06 and 65,732.91 is: 151,182.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,580.06 : 65,732.91 = 65,732.91 : x
  2. Step 2: Convert to fraction form
    28,580.06/65,732.91 = 65,732.91/x
  3. Step 3: Cross multiply
    28,580.06x = 65,732.91 × 65,732.91
  4. Step 4: Simplify right side
    28,580.06x = 4,320,814,964.07
  5. Step 5: Solve for x
    x = 4,320,814,964.07/28,580.06
  6. Step 6: Final answer
    x = 151,182.84

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These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.