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Finding the Third Proportional to 937.06 and 1,430.41

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Solution

The third proportional to 937.06 and 1,430.41 is: 2,183.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    937.06 : 1,430.41 = 1,430.41 : x
  2. Step 2: Convert to fraction form
    937.06/1,430.41 = 1,430.41/x
  3. Step 3: Cross multiply
    937.06x = 1,430.41 × 1,430.41
  4. Step 4: Simplify right side
    937.06x = 2,046,082.29
  5. Step 5: Solve for x
    x = 2,046,082.29/937.06
  6. Step 6: Final answer
    x = 2,183.52

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.