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Finding the Third Proportional to 3,312.25 and 7,019.38

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Solution

The third proportional to 3,312.25 and 7,019.38 is: 14,875.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,312.25 : 7,019.38 = 7,019.38 : x
  2. Step 2: Convert to fraction form
    3,312.25/7,019.38 = 7,019.38/x
  3. Step 3: Cross multiply
    3,312.25x = 7,019.38 × 7,019.38
  4. Step 4: Simplify right side
    3,312.25x = 49,271,625.39
  5. Step 5: Solve for x
    x = 49,271,625.39/3,312.25
  6. Step 6: Final answer
    x = 14,875.58

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.