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Finding the Third Proportional to 9,874.50 and 21,329.25

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Solution

The third proportional to 9,874.50 and 21,329.25 is: 46,071.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,874.50 : 21,329.25 = 21,329.25 : x
  2. Step 2: Convert to fraction form
    9,874.50/21,329.25 = 21,329.25/x
  3. Step 3: Cross multiply
    9,874.50x = 21,329.25 × 21,329.25
  4. Step 4: Simplify right side
    9,874.50x = 454,936,905.56
  5. Step 5: Solve for x
    x = 454,936,905.56/9,874.50
  6. Step 6: Final answer
    x = 46,071.89

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.