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Finding the Third Proportional to 30,364 and 62,240

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Solution

The third proportional to 30,364 and 62,240 is: 127,579.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,364 : 62,240 = 62,240 : x
  2. Step 2: Convert to fraction form
    30,364/62,240 = 62,240/x
  3. Step 3: Cross multiply
    30,364x = 62,240 × 62,240
  4. Step 4: Simplify right side
    30,364x = 3,873,817,600
  5. Step 5: Solve for x
    x = 3,873,817,600/30,364
  6. Step 6: Final answer
    x = 127,579.29

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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.