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Finding the Third Proportional to 30,213 and 61,944

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Solution

The third proportional to 30,213 and 61,944 is: 127,000.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,213 : 61,944 = 61,944 : x
  2. Step 2: Convert to fraction form
    30,213/61,944 = 61,944/x
  3. Step 3: Cross multiply
    30,213x = 61,944 × 61,944
  4. Step 4: Simplify right side
    30,213x = 3,837,059,136
  5. Step 5: Solve for x
    x = 3,837,059,136/30,213
  6. Step 6: Final answer
    x = 127,000.27

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.