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Finding the Third Proportional to 12,987 and 28,024.31

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Solution

The third proportional to 12,987 and 28,024.31 is: 60,472.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,987 : 28,024.31 = 28,024.31 : x
  2. Step 2: Convert to fraction form
    12,987/28,024.31 = 28,024.31/x
  3. Step 3: Cross multiply
    12,987x = 28,024.31 × 28,024.31
  4. Step 4: Simplify right side
    12,987x = 785,362,091.10
  5. Step 5: Solve for x
    x = 785,362,091.10/12,987
  6. Step 6: Final answer
    x = 60,472.94

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.