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Finding the Third Proportional to 8,173 and 10,429

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Solution

The third proportional to 8,173 and 10,429 is: 13,307.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,173 : 10,429 = 10,429 : x
  2. Step 2: Convert to fraction form
    8,173/10,429 = 10,429/x
  3. Step 3: Cross multiply
    8,173x = 10,429 × 10,429
  4. Step 4: Simplify right side
    8,173x = 108,764,041
  5. Step 5: Solve for x
    x = 108,764,041/8,173
  6. Step 6: Final answer
    x = 13,307.73

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Why These Related Problems?

These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.