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Finding the Third Proportional to 30,038 and 61,980

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Solution

The third proportional to 30,038 and 61,980 is: 127,888.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,038 : 61,980 = 61,980 : x
  2. Step 2: Convert to fraction form
    30,038/61,980 = 61,980/x
  3. Step 3: Cross multiply
    30,038x = 61,980 × 61,980
  4. Step 4: Simplify right side
    30,038x = 3,841,520,400
  5. Step 5: Solve for x
    x = 3,841,520,400/30,038
  6. Step 6: Final answer
    x = 127,888.69

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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.