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Finding the Third Proportional to 3,002.38 and 4,628.87

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Solution

The third proportional to 3,002.38 and 4,628.87 is: 7,136.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,002.38 : 4,628.87 = 4,628.87 : x
  2. Step 2: Convert to fraction form
    3,002.38/4,628.87 = 4,628.87/x
  3. Step 3: Cross multiply
    3,002.38x = 4,628.87 × 4,628.87
  4. Step 4: Simplify right side
    3,002.38x = 21,426,393.36
  5. Step 5: Solve for x
    x = 21,426,393.36/3,002.38
  6. Step 6: Final answer
    x = 7,136.47

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.