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Finding the Third Proportional to 6,937.50 and 10,871.25

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Solution

The third proportional to 6,937.50 and 10,871.25 is: 17,035.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,937.50 : 10,871.25 = 10,871.25 : x
  2. Step 2: Convert to fraction form
    6,937.50/10,871.25 = 10,871.25/x
  3. Step 3: Cross multiply
    6,937.50x = 10,871.25 × 10,871.25
  4. Step 4: Simplify right side
    6,937.50x = 118,184,076.56
  5. Step 5: Solve for x
    x = 118,184,076.56/6,937.50
  6. Step 6: Final answer
    x = 17,035.54

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.