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Finding the Third Proportional to 5,732 and 9,236

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Solution

The third proportional to 5,732 and 9,236 is: 14,882.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,732 : 9,236 = 9,236 : x
  2. Step 2: Convert to fraction form
    5,732/9,236 = 9,236/x
  3. Step 3: Cross multiply
    5,732x = 9,236 × 9,236
  4. Step 4: Simplify right side
    5,732x = 85,303,696
  5. Step 5: Solve for x
    x = 85,303,696/5,732
  6. Step 6: Final answer
    x = 14,882.01

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.