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Finding the Third Proportional to 30,511.88 and 62,510.25

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Solution

The third proportional to 30,511.88 and 62,510.25 is: 128,065.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,511.88 : 62,510.25 = 62,510.25 : x
  2. Step 2: Convert to fraction form
    30,511.88/62,510.25 = 62,510.25/x
  3. Step 3: Cross multiply
    30,511.88x = 62,510.25 × 62,510.25
  4. Step 4: Simplify right side
    30,511.88x = 3,907,531,355.06
  5. Step 5: Solve for x
    x = 3,907,531,355.06/30,511.88
  6. Step 6: Final answer
    x = 128,065.92

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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.