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Finding the Third Proportional to 10,034 and 13,423

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Solution

The third proportional to 10,034 and 13,423 is: 17,956.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,034 : 13,423 = 13,423 : x
  2. Step 2: Convert to fraction form
    10,034/13,423 = 13,423/x
  3. Step 3: Cross multiply
    10,034x = 13,423 × 13,423
  4. Step 4: Simplify right side
    10,034x = 180,176,929
  5. Step 5: Solve for x
    x = 180,176,929/10,034
  6. Step 6: Final answer
    x = 17,956.64

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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.