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Finding the Third Proportional to 36,288 and 52,992

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Solution

The third proportional to 36,288 and 52,992 is: 77,385.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,288 : 52,992 = 52,992 : x
  2. Step 2: Convert to fraction form
    36,288/52,992 = 52,992/x
  3. Step 3: Cross multiply
    36,288x = 52,992 × 52,992
  4. Step 4: Simplify right side
    36,288x = 2,808,152,064
  5. Step 5: Solve for x
    x = 2,808,152,064/36,288
  6. Step 6: Final answer
    x = 77,385.14

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.