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Finding the Third Proportional to 23,216 and 36,210

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Solution

The third proportional to 23,216 and 36,210 is: 56,476.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,216 : 36,210 = 36,210 : x
  2. Step 2: Convert to fraction form
    23,216/36,210 = 36,210/x
  3. Step 3: Cross multiply
    23,216x = 36,210 × 36,210
  4. Step 4: Simplify right side
    23,216x = 1,311,164,100
  5. Step 5: Solve for x
    x = 1,311,164,100/23,216
  6. Step 6: Final answer
    x = 56,476.74

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.