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Finding the Third Proportional to 10,473.75 and 21,980.25

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Solution

The third proportional to 10,473.75 and 21,980.25 is: 46,127.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,473.75 : 21,980.25 = 21,980.25 : x
  2. Step 2: Convert to fraction form
    10,473.75/21,980.25 = 21,980.25/x
  3. Step 3: Cross multiply
    10,473.75x = 21,980.25 × 21,980.25
  4. Step 4: Simplify right side
    10,473.75x = 483,131,390.06
  5. Step 5: Solve for x
    x = 483,131,390.06/10,473.75
  6. Step 6: Final answer
    x = 46,127.83

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.