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Finding the Third Proportional to 22,875.75 and 35,856

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Solution

The third proportional to 22,875.75 and 35,856 is: 56,201.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,875.75 : 35,856 = 35,856 : x
  2. Step 2: Convert to fraction form
    22,875.75/35,856 = 35,856/x
  3. Step 3: Cross multiply
    22,875.75x = 35,856 × 35,856
  4. Step 4: Simplify right side
    22,875.75x = 1,285,652,736
  5. Step 5: Solve for x
    x = 1,285,652,736/22,875.75
  6. Step 6: Final answer
    x = 56,201.56

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.