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Finding the Third Proportional to 2,890.69 and 4,130.72

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Solution

The third proportional to 2,890.69 and 4,130.72 is: 5,902.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,890.69 : 4,130.72 = 4,130.72 : x
  2. Step 2: Convert to fraction form
    2,890.69/4,130.72 = 4,130.72/x
  3. Step 3: Cross multiply
    2,890.69x = 4,130.72 × 4,130.72
  4. Step 4: Simplify right side
    2,890.69x = 17,062,837.39
  5. Step 5: Solve for x
    x = 17,062,837.39/2,890.69
  6. Step 6: Final answer
    x = 5,902.69

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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.