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Finding the Third Proportional to 3,384.75 and 4,940.25

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Solution

The third proportional to 3,384.75 and 4,940.25 is: 7,210.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,384.75 : 4,940.25 = 4,940.25 : x
  2. Step 2: Convert to fraction form
    3,384.75/4,940.25 = 4,940.25/x
  3. Step 3: Cross multiply
    3,384.75x = 4,940.25 × 4,940.25
  4. Step 4: Simplify right side
    3,384.75x = 24,406,070.06
  5. Step 5: Solve for x
    x = 24,406,070.06/3,384.75
  6. Step 6: Final answer
    x = 7,210.60

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.