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Finding the Third Proportional to 576 and 1,236

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Solution

The third proportional to 576 and 1,236 is: 2,652.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    576 : 1,236 = 1,236 : x
  2. Step 2: Convert to fraction form
    576/1,236 = 1,236/x
  3. Step 3: Cross multiply
    576x = 1,236 × 1,236
  4. Step 4: Simplify right side
    576x = 1,527,696
  5. Step 5: Solve for x
    x = 1,527,696/576
  6. Step 6: Final answer
    x = 2,652.25

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.