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Finding the Third Proportional to 36,455 and 57,113

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Solution

The third proportional to 36,455 and 57,113 is: 89,477.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,455 : 57,113 = 57,113 : x
  2. Step 2: Convert to fraction form
    36,455/57,113 = 57,113/x
  3. Step 3: Cross multiply
    36,455x = 57,113 × 57,113
  4. Step 4: Simplify right side
    36,455x = 3,261,894,769
  5. Step 5: Solve for x
    x = 3,261,894,769/36,455
  6. Step 6: Final answer
    x = 89,477.29

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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.