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Finding the Third Proportional to 3,567 and 7,390.50

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Solution

The third proportional to 3,567 and 7,390.50 is: 15,312.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,567 : 7,390.50 = 7,390.50 : x
  2. Step 2: Convert to fraction form
    3,567/7,390.50 = 7,390.50/x
  3. Step 3: Cross multiply
    3,567x = 7,390.50 × 7,390.50
  4. Step 4: Simplify right side
    3,567x = 54,619,490.25
  5. Step 5: Solve for x
    x = 54,619,490.25/3,567
  6. Step 6: Final answer
    x = 15,312.44

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.