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Finding the Third Proportional to 962.63 and 2,106.38

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Solution

The third proportional to 962.63 and 2,106.38 is: 4,609.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    962.63 : 2,106.38 = 2,106.38 : x
  2. Step 2: Convert to fraction form
    962.63/2,106.38 = 2,106.38/x
  3. Step 3: Cross multiply
    962.63x = 2,106.38 × 2,106.38
  4. Step 4: Simplify right side
    962.63x = 4,436,815.64
  5. Step 5: Solve for x
    x = 4,436,815.64/962.63
  6. Step 6: Final answer
    x = 4,609.08

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.