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Finding the Third Proportional to 3,852.84 and 8,307.84

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Solution

The third proportional to 3,852.84 and 8,307.84 is: 17,914.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,852.84 : 8,307.84 = 8,307.84 : x
  2. Step 2: Convert to fraction form
    3,852.84/8,307.84 = 8,307.84/x
  3. Step 3: Cross multiply
    3,852.84x = 8,307.84 × 8,307.84
  4. Step 4: Simplify right side
    3,852.84x = 69,020,267.77
  5. Step 5: Solve for x
    x = 69,020,267.77/3,852.84
  6. Step 6: Final answer
    x = 17,914.11

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.