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Finding the Third Proportional to 3,007.50 and 4,298

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Solution

The third proportional to 3,007.50 and 4,298 is: 6,142.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,007.50 : 4,298 = 4,298 : x
  2. Step 2: Convert to fraction form
    3,007.50/4,298 = 4,298/x
  3. Step 3: Cross multiply
    3,007.50x = 4,298 × 4,298
  4. Step 4: Simplify right side
    3,007.50x = 18,472,804
  5. Step 5: Solve for x
    x = 18,472,804/3,007.50
  6. Step 6: Final answer
    x = 6,142.25

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.