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Finding the Third Proportional to 2,900.25 and 4,142.25

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Solution

The third proportional to 2,900.25 and 4,142.25 is: 5,916.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,900.25 : 4,142.25 = 4,142.25 : x
  2. Step 2: Convert to fraction form
    2,900.25/4,142.25 = 4,142.25/x
  3. Step 3: Cross multiply
    2,900.25x = 4,142.25 × 4,142.25
  4. Step 4: Simplify right side
    2,900.25x = 17,158,235.06
  5. Step 5: Solve for x
    x = 17,158,235.06/2,900.25
  6. Step 6: Final answer
    x = 5,916.12

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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.