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Finding the Third Proportional to 11,875.50 and 25,983

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Solution

The third proportional to 11,875.50 and 25,983 is: 56,849.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,875.50 : 25,983 = 25,983 : x
  2. Step 2: Convert to fraction form
    11,875.50/25,983 = 25,983/x
  3. Step 3: Cross multiply
    11,875.50x = 25,983 × 25,983
  4. Step 4: Simplify right side
    11,875.50x = 675,116,289
  5. Step 5: Solve for x
    x = 675,116,289/11,875.50
  6. Step 6: Final answer
    x = 56,849.50

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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.