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Finding the Third Proportional to 942.38 and 2,030.25

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Solution

The third proportional to 942.38 and 2,030.25 is: 4,373.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    942.38 : 2,030.25 = 2,030.25 : x
  2. Step 2: Convert to fraction form
    942.38/2,030.25 = 2,030.25/x
  3. Step 3: Cross multiply
    942.38x = 2,030.25 × 2,030.25
  4. Step 4: Simplify right side
    942.38x = 4,121,915.06
  5. Step 5: Solve for x
    x = 4,121,915.06/942.38
  6. Step 6: Final answer
    x = 4,373.96

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.