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Finding the Third Proportional to 5,030.75 and 10,927.25

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Solution

The third proportional to 5,030.75 and 10,927.25 is: 23,734.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,030.75 : 10,927.25 = 10,927.25 : x
  2. Step 2: Convert to fraction form
    5,030.75/10,927.25 = 10,927.25/x
  3. Step 3: Cross multiply
    5,030.75x = 10,927.25 × 10,927.25
  4. Step 4: Simplify right side
    5,030.75x = 119,404,792.56
  5. Step 5: Solve for x
    x = 119,404,792.56/5,030.75
  6. Step 6: Final answer
    x = 23,734.99

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.