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Finding the Third Proportional to 3,463 and 4,653.50

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Solution

The third proportional to 3,463 and 4,653.50 is: 6,253.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,463 : 4,653.50 = 4,653.50 : x
  2. Step 2: Convert to fraction form
    3,463/4,653.50 = 4,653.50/x
  3. Step 3: Cross multiply
    3,463x = 4,653.50 × 4,653.50
  4. Step 4: Simplify right side
    3,463x = 21,655,062.25
  5. Step 5: Solve for x
    x = 21,655,062.25/3,463
  6. Step 6: Final answer
    x = 6,253.27

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.