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Finding the Third Proportional to 4,428 and 10,406

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Solution

The third proportional to 4,428 and 10,406 is: 24,454.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,428 : 10,406 = 10,406 : x
  2. Step 2: Convert to fraction form
    4,428/10,406 = 10,406/x
  3. Step 3: Cross multiply
    4,428x = 10,406 × 10,406
  4. Step 4: Simplify right side
    4,428x = 108,284,836
  5. Step 5: Solve for x
    x = 108,284,836/4,428
  6. Step 6: Final answer
    x = 24,454.57

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.