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Finding the Third Proportional to 954.99 and 2,013.69

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Solution

The third proportional to 954.99 and 2,013.69 is: 4,246.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    954.99 : 2,013.69 = 2,013.69 : x
  2. Step 2: Convert to fraction form
    954.99/2,013.69 = 2,013.69/x
  3. Step 3: Cross multiply
    954.99x = 2,013.69 × 2,013.69
  4. Step 4: Simplify right side
    954.99x = 4,054,941.28
  5. Step 5: Solve for x
    x = 4,054,941.28/954.99
  6. Step 6: Final answer
    x = 4,246.04

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.