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Finding the Third Proportional to 36,512 and 55,038.75

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Solution

The third proportional to 36,512 and 55,038.75 is: 82,966.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,512 : 55,038.75 = 55,038.75 : x
  2. Step 2: Convert to fraction form
    36,512/55,038.75 = 55,038.75/x
  3. Step 3: Cross multiply
    36,512x = 55,038.75 × 55,038.75
  4. Step 4: Simplify right side
    36,512x = 3,029,264,001.56
  5. Step 5: Solve for x
    x = 3,029,264,001.56/36,512
  6. Step 6: Final answer
    x = 82,966.26

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.