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Finding the Third Proportional to 4,106 and 6,423

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Solution

The third proportional to 4,106 and 6,423 is: 10,047.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,106 : 6,423 = 6,423 : x
  2. Step 2: Convert to fraction form
    4,106/6,423 = 6,423/x
  3. Step 3: Cross multiply
    4,106x = 6,423 × 6,423
  4. Step 4: Simplify right side
    4,106x = 41,254,929
  5. Step 5: Solve for x
    x = 41,254,929/4,106
  6. Step 6: Final answer
    x = 10,047.47

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.