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Finding the Third Proportional to 5,024.53 and 10,735.03

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Solution

The third proportional to 5,024.53 and 10,735.03 is: 22,935.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,024.53 : 10,735.03 = 10,735.03 : x
  2. Step 2: Convert to fraction form
    5,024.53/10,735.03 = 10,735.03/x
  3. Step 3: Cross multiply
    5,024.53x = 10,735.03 × 10,735.03
  4. Step 4: Simplify right side
    5,024.53x = 115,240,895.94
  5. Step 5: Solve for x
    x = 115,240,895.94/5,024.53
  6. Step 6: Final answer
    x = 22,935.65

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.