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Finding the Third Proportional to 963.46 and 2,106.63

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Solution

The third proportional to 963.46 and 2,106.63 is: 4,606.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    963.46 : 2,106.63 = 2,106.63 : x
  2. Step 2: Convert to fraction form
    963.46/2,106.63 = 2,106.63/x
  3. Step 3: Cross multiply
    963.46x = 2,106.63 × 2,106.63
  4. Step 4: Simplify right side
    963.46x = 4,437,901.81
  5. Step 5: Solve for x
    x = 4,437,901.81/963.46
  6. Step 6: Final answer
    x = 4,606.23

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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.