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Finding the Third Proportional to 14,210 and 22,115

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Solution

The third proportional to 14,210 and 22,115 is: 34,417.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,210 : 22,115 = 22,115 : x
  2. Step 2: Convert to fraction form
    14,210/22,115 = 22,115/x
  3. Step 3: Cross multiply
    14,210x = 22,115 × 22,115
  4. Step 4: Simplify right side
    14,210x = 489,073,225
  5. Step 5: Solve for x
    x = 489,073,225/14,210
  6. Step 6: Final answer
    x = 34,417.54

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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.