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Finding the Third Proportional to 27,962.72 and 43,200.84

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Solution

The third proportional to 27,962.72 and 43,200.84 is: 66,742.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,962.72 : 43,200.84 = 43,200.84 : x
  2. Step 2: Convert to fraction form
    27,962.72/43,200.84 = 43,200.84/x
  3. Step 3: Cross multiply
    27,962.72x = 43,200.84 × 43,200.84
  4. Step 4: Simplify right side
    27,962.72x = 1,866,312,900.71
  5. Step 5: Solve for x
    x = 1,866,312,900.71/27,962.72
  6. Step 6: Final answer
    x = 66,742.90

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.