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Finding the Third Proportional to 5,875 and 12,236

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Solution

The third proportional to 5,875 and 12,236 is: 25,484.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,875 : 12,236 = 12,236 : x
  2. Step 2: Convert to fraction form
    5,875/12,236 = 12,236/x
  3. Step 3: Cross multiply
    5,875x = 12,236 × 12,236
  4. Step 4: Simplify right side
    5,875x = 149,719,696
  5. Step 5: Solve for x
    x = 149,719,696/5,875
  6. Step 6: Final answer
    x = 25,484.20

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.