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Finding the Third Proportional to 942.61 and 2,036.95

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Solution

The third proportional to 942.61 and 2,036.95 is: 4,401.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    942.61 : 2,036.95 = 2,036.95 : x
  2. Step 2: Convert to fraction form
    942.61/2,036.95 = 2,036.95/x
  3. Step 3: Cross multiply
    942.61x = 2,036.95 × 2,036.95
  4. Step 4: Simplify right side
    942.61x = 4,149,178.03
  5. Step 5: Solve for x
    x = 4,149,178.03/942.61
  6. Step 6: Final answer
    x = 4,401.80

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.