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Finding the Third Proportional to 8,124 and 11,875.50

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Solution

The third proportional to 8,124 and 11,875.50 is: 17,359.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,124 : 11,875.50 = 11,875.50 : x
  2. Step 2: Convert to fraction form
    8,124/11,875.50 = 11,875.50/x
  3. Step 3: Cross multiply
    8,124x = 11,875.50 × 11,875.50
  4. Step 4: Simplify right side
    8,124x = 141,027,500.25
  5. Step 5: Solve for x
    x = 141,027,500.25/8,124
  6. Step 6: Final answer
    x = 17,359.37

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.