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Finding the Third Proportional to 12,297.75 and 28,871.25

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Solution

The third proportional to 12,297.75 and 28,871.25 is: 67,780.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,297.75 : 28,871.25 = 28,871.25 : x
  2. Step 2: Convert to fraction form
    12,297.75/28,871.25 = 28,871.25/x
  3. Step 3: Cross multiply
    12,297.75x = 28,871.25 × 28,871.25
  4. Step 4: Simplify right side
    12,297.75x = 833,549,076.56
  5. Step 5: Solve for x
    x = 833,549,076.56/12,297.75
  6. Step 6: Final answer
    x = 67,780.62

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These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.