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Finding the Third Proportional to 30,200.34 and 61,403.06

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Solution

The third proportional to 30,200.34 and 61,403.06 is: 124,844.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,200.34 : 61,403.06 = 61,403.06 : x
  2. Step 2: Convert to fraction form
    30,200.34/61,403.06 = 61,403.06/x
  3. Step 3: Cross multiply
    30,200.34x = 61,403.06 × 61,403.06
  4. Step 4: Simplify right side
    30,200.34x = 3,770,336,084.38
  5. Step 5: Solve for x
    x = 3,770,336,084.38/30,200.34
  6. Step 6: Final answer
    x = 124,844.14

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.