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Finding the Third Proportional to 3,095 and 7,300

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Solution

The third proportional to 3,095 and 7,300 is: 17,218.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,095 : 7,300 = 7,300 : x
  2. Step 2: Convert to fraction form
    3,095/7,300 = 7,300/x
  3. Step 3: Cross multiply
    3,095x = 7,300 × 7,300
  4. Step 4: Simplify right side
    3,095x = 53,290,000
  5. Step 5: Solve for x
    x = 53,290,000/3,095
  6. Step 6: Final answer
    x = 17,218.09

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.