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Finding the Third Proportional to 6,981 and 9,829.50

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Solution

The third proportional to 6,981 and 9,829.50 is: 13,840.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,981 : 9,829.50 = 9,829.50 : x
  2. Step 2: Convert to fraction form
    6,981/9,829.50 = 9,829.50/x
  3. Step 3: Cross multiply
    6,981x = 9,829.50 × 9,829.50
  4. Step 4: Simplify right side
    6,981x = 96,619,070.25
  5. Step 5: Solve for x
    x = 96,619,070.25/6,981
  6. Step 6: Final answer
    x = 13,840.29

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.