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Finding the Third Proportional to 873.07 and 2,045.46

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Solution

The third proportional to 873.07 and 2,045.46 is: 4,792.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    873.07 : 2,045.46 = 2,045.46 : x
  2. Step 2: Convert to fraction form
    873.07/2,045.46 = 2,045.46/x
  3. Step 3: Cross multiply
    873.07x = 2,045.46 × 2,045.46
  4. Step 4: Simplify right side
    873.07x = 4,183,910.45
  5. Step 5: Solve for x
    x = 4,183,910.45/873.07
  6. Step 6: Final answer
    x = 4,792.18

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.