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Finding the Third Proportional to 12,966.75 and 28,374.75

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Solution

The third proportional to 12,966.75 and 28,374.75 is: 62,091.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,966.75 : 28,374.75 = 28,374.75 : x
  2. Step 2: Convert to fraction form
    12,966.75/28,374.75 = 28,374.75/x
  3. Step 3: Cross multiply
    12,966.75x = 28,374.75 × 28,374.75
  4. Step 4: Simplify right side
    12,966.75x = 805,126,437.56
  5. Step 5: Solve for x
    x = 805,126,437.56/12,966.75
  6. Step 6: Final answer
    x = 62,091.61

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.