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Finding the Third Proportional to 10,030 and 21,980

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Solution

The third proportional to 10,030 and 21,980 is: 48,167.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,030 : 21,980 = 21,980 : x
  2. Step 2: Convert to fraction form
    10,030/21,980 = 21,980/x
  3. Step 3: Cross multiply
    10,030x = 21,980 × 21,980
  4. Step 4: Simplify right side
    10,030x = 483,120,400
  5. Step 5: Solve for x
    x = 483,120,400/10,030
  6. Step 6: Final answer
    x = 48,167.54

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.