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Finding the Third Proportional to 962.63 and 2,078.63

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Solution

The third proportional to 962.63 and 2,078.63 is: 4,488.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    962.63 : 2,078.63 = 2,078.63 : x
  2. Step 2: Convert to fraction form
    962.63/2,078.63 = 2,078.63/x
  3. Step 3: Cross multiply
    962.63x = 2,078.63 × 2,078.63
  4. Step 4: Simplify right side
    962.63x = 4,320,681.89
  5. Step 5: Solve for x
    x = 4,320,681.89/962.63
  6. Step 6: Final answer
    x = 4,488.44

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.