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Finding the Third Proportional to 30,084 and 60,897

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Solution

The third proportional to 30,084 and 60,897 is: 123,269.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,084 : 60,897 = 60,897 : x
  2. Step 2: Convert to fraction form
    30,084/60,897 = 60,897/x
  3. Step 3: Cross multiply
    30,084x = 60,897 × 60,897
  4. Step 4: Simplify right side
    30,084x = 3,708,444,609
  5. Step 5: Solve for x
    x = 3,708,444,609/30,084
  6. Step 6: Final answer
    x = 123,269.67

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Why These Related Problems?

These problems maintain the same ratio (2.02) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.