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Finding the Third Proportional to 12,742.50 and 28,077

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Solution

The third proportional to 12,742.50 and 28,077 is: 61,865.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,742.50 : 28,077 = 28,077 : x
  2. Step 2: Convert to fraction form
    12,742.50/28,077 = 28,077/x
  3. Step 3: Cross multiply
    12,742.50x = 28,077 × 28,077
  4. Step 4: Simplify right side
    12,742.50x = 788,317,929
  5. Step 5: Solve for x
    x = 788,317,929/12,742.50
  6. Step 6: Final answer
    x = 61,865.25

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.