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Finding the Third Proportional to 12,972.25 and 28,536.50

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Solution

The third proportional to 12,972.25 and 28,536.50 is: 62,774.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,972.25 : 28,536.50 = 28,536.50 : x
  2. Step 2: Convert to fraction form
    12,972.25/28,536.50 = 28,536.50/x
  3. Step 3: Cross multiply
    12,972.25x = 28,536.50 × 28,536.50
  4. Step 4: Simplify right side
    12,972.25x = 814,331,832.25
  5. Step 5: Solve for x
    x = 814,331,832.25/12,972.25
  6. Step 6: Final answer
    x = 62,774.91

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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.