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Finding the Third Proportional to 30,106.50 and 62,035.50

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Solution

The third proportional to 30,106.50 and 62,035.50 is: 127,826.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,106.50 : 62,035.50 = 62,035.50 : x
  2. Step 2: Convert to fraction form
    30,106.50/62,035.50 = 62,035.50/x
  3. Step 3: Cross multiply
    30,106.50x = 62,035.50 × 62,035.50
  4. Step 4: Simplify right side
    30,106.50x = 3,848,403,260.25
  5. Step 5: Solve for x
    x = 3,848,403,260.25/30,106.50
  6. Step 6: Final answer
    x = 127,826.33

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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.