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Finding the Third Proportional to 30,211.50 and 62,365.50

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Solution

The third proportional to 30,211.50 and 62,365.50 is: 128,740.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,211.50 : 62,365.50 = 62,365.50 : x
  2. Step 2: Convert to fraction form
    30,211.50/62,365.50 = 62,365.50/x
  3. Step 3: Cross multiply
    30,211.50x = 62,365.50 × 62,365.50
  4. Step 4: Simplify right side
    30,211.50x = 3,889,455,590.25
  5. Step 5: Solve for x
    x = 3,889,455,590.25/30,211.50
  6. Step 6: Final answer
    x = 128,740.90

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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.