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Finding the Third Proportional to 35,970.75 and 56,916

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Solution

The third proportional to 35,970.75 and 56,916 is: 90,057.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,970.75 : 56,916 = 56,916 : x
  2. Step 2: Convert to fraction form
    35,970.75/56,916 = 56,916/x
  3. Step 3: Cross multiply
    35,970.75x = 56,916 × 56,916
  4. Step 4: Simplify right side
    35,970.75x = 3,239,431,056
  5. Step 5: Solve for x
    x = 3,239,431,056/35,970.75
  6. Step 6: Final answer
    x = 90,057.37

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.