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Finding the Third Proportional to 30,210 and 71,212.50

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Solution

The third proportional to 30,210 and 71,212.50 is: 167,865.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,210 : 71,212.50 = 71,212.50 : x
  2. Step 2: Convert to fraction form
    30,210/71,212.50 = 71,212.50/x
  3. Step 3: Cross multiply
    30,210x = 71,212.50 × 71,212.50
  4. Step 4: Simplify right side
    30,210x = 5,071,220,156.25
  5. Step 5: Solve for x
    x = 5,071,220,156.25/30,210
  6. Step 6: Final answer
    x = 167,865.61

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.