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Finding the Third Proportional to 12,576 and 19,027.50

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Solution

The third proportional to 12,576 and 19,027.50 is: 28,788.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,576 : 19,027.50 = 19,027.50 : x
  2. Step 2: Convert to fraction form
    12,576/19,027.50 = 19,027.50/x
  3. Step 3: Cross multiply
    12,576x = 19,027.50 × 19,027.50
  4. Step 4: Simplify right side
    12,576x = 362,045,756.25
  5. Step 5: Solve for x
    x = 362,045,756.25/12,576
  6. Step 6: Final answer
    x = 28,788.63

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.