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Finding the Third Proportional to 12,957 and 27,856.50

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Solution

The third proportional to 12,957 and 27,856.50 is: 59,889.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,957 : 27,856.50 = 27,856.50 : x
  2. Step 2: Convert to fraction form
    12,957/27,856.50 = 27,856.50/x
  3. Step 3: Cross multiply
    12,957x = 27,856.50 × 27,856.50
  4. Step 4: Simplify right side
    12,957x = 775,984,592.25
  5. Step 5: Solve for x
    x = 775,984,592.25/12,957
  6. Step 6: Final answer
    x = 59,889.22

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.