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Finding the Third Proportional to 36,152 and 55,605

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Solution

The third proportional to 36,152 and 55,605 is: 85,525.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,152 : 55,605 = 55,605 : x
  2. Step 2: Convert to fraction form
    36,152/55,605 = 55,605/x
  3. Step 3: Cross multiply
    36,152x = 55,605 × 55,605
  4. Step 4: Simplify right side
    36,152x = 3,091,916,025
  5. Step 5: Solve for x
    x = 3,091,916,025/36,152
  6. Step 6: Final answer
    x = 85,525.45

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.