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Finding the Third Proportional to 6,851 and 10,924.50

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Solution

The third proportional to 6,851 and 10,924.50 is: 17,420.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,851 : 10,924.50 = 10,924.50 : x
  2. Step 2: Convert to fraction form
    6,851/10,924.50 = 10,924.50/x
  3. Step 3: Cross multiply
    6,851x = 10,924.50 × 10,924.50
  4. Step 4: Simplify right side
    6,851x = 119,344,700.25
  5. Step 5: Solve for x
    x = 119,344,700.25/6,851
  6. Step 6: Final answer
    x = 17,420.04

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.