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Finding the Third Proportional to 12,719.25 and 25,783.50

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Solution

The third proportional to 12,719.25 and 25,783.50 is: 52,266.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,719.25 : 25,783.50 = 25,783.50 : x
  2. Step 2: Convert to fraction form
    12,719.25/25,783.50 = 25,783.50/x
  3. Step 3: Cross multiply
    12,719.25x = 25,783.50 × 25,783.50
  4. Step 4: Simplify right side
    12,719.25x = 664,788,872.25
  5. Step 5: Solve for x
    x = 664,788,872.25/12,719.25
  6. Step 6: Final answer
    x = 52,266.36

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.