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Finding the Third Proportional to 954.91 and 1,790.96

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Solution

The third proportional to 954.91 and 1,790.96 is: 3,359.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    954.91 : 1,790.96 = 1,790.96 : x
  2. Step 2: Convert to fraction form
    954.91/1,790.96 = 1,790.96/x
  3. Step 3: Cross multiply
    954.91x = 1,790.96 × 1,790.96
  4. Step 4: Simplify right side
    954.91x = 3,207,555.07
  5. Step 5: Solve for x
    x = 3,207,555.07/954.91
  6. Step 6: Final answer
    x = 3,359.00

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Why These Related Problems?

These problems maintain the same ratio (1.88) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.