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Finding the Third Proportional to 30,511.69 and 62,982.56

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Solution

The third proportional to 30,511.69 and 62,982.56 is: 130,009.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,511.69 : 62,982.56 = 62,982.56 : x
  2. Step 2: Convert to fraction form
    30,511.69/62,982.56 = 62,982.56/x
  3. Step 3: Cross multiply
    30,511.69x = 62,982.56 × 62,982.56
  4. Step 4: Simplify right side
    30,511.69x = 3,966,803,179.07
  5. Step 5: Solve for x
    x = 3,966,803,179.07/30,511.69
  6. Step 6: Final answer
    x = 130,009.30

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.