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Finding the Third Proportional to 21,980 and 33,046

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Solution

The third proportional to 21,980 and 33,046 is: 49,683.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,980 : 33,046 = 33,046 : x
  2. Step 2: Convert to fraction form
    21,980/33,046 = 33,046/x
  3. Step 3: Cross multiply
    21,980x = 33,046 × 33,046
  4. Step 4: Simplify right side
    21,980x = 1,092,038,116
  5. Step 5: Solve for x
    x = 1,092,038,116/21,980
  6. Step 6: Final answer
    x = 49,683.26

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.