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Finding the Third Proportional to 6,274 and 14,033

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Solution

The third proportional to 6,274 and 14,033 is: 31,387.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,274 : 14,033 = 14,033 : x
  2. Step 2: Convert to fraction form
    6,274/14,033 = 14,033/x
  3. Step 3: Cross multiply
    6,274x = 14,033 × 14,033
  4. Step 4: Simplify right side
    6,274x = 196,925,089
  5. Step 5: Solve for x
    x = 196,925,089/6,274
  6. Step 6: Final answer
    x = 31,387.49

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Why These Related Problems?

These problems maintain the same ratio (2.24) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.