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Finding the Third Proportional to 6,830.50 and 10,444

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Solution

The third proportional to 6,830.50 and 10,444 is: 15,969.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,830.50 : 10,444 = 10,444 : x
  2. Step 2: Convert to fraction form
    6,830.50/10,444 = 10,444/x
  3. Step 3: Cross multiply
    6,830.50x = 10,444 × 10,444
  4. Step 4: Simplify right side
    6,830.50x = 109,077,136
  5. Step 5: Solve for x
    x = 109,077,136/6,830.50
  6. Step 6: Final answer
    x = 15,969.13

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.