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Finding the Third Proportional to 4,600 and 12,236

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Solution

The third proportional to 4,600 and 12,236 is: 32,547.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,600 : 12,236 = 12,236 : x
  2. Step 2: Convert to fraction form
    4,600/12,236 = 12,236/x
  3. Step 3: Cross multiply
    4,600x = 12,236 × 12,236
  4. Step 4: Simplify right side
    4,600x = 149,719,696
  5. Step 5: Solve for x
    x = 149,719,696/4,600
  6. Step 6: Final answer
    x = 32,547.76

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Why These Related Problems?

These problems maintain the same ratio (2.66) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.