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Finding the Third Proportional to 3,090.50 and 7,297

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Solution

The third proportional to 3,090.50 and 7,297 is: 17,228.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,090.50 : 7,297 = 7,297 : x
  2. Step 2: Convert to fraction form
    3,090.50/7,297 = 7,297/x
  3. Step 3: Cross multiply
    3,090.50x = 7,297 × 7,297
  4. Step 4: Simplify right side
    3,090.50x = 53,246,209
  5. Step 5: Solve for x
    x = 53,246,209/3,090.50
  6. Step 6: Final answer
    x = 17,228.99

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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.