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Finding the Third Proportional to 14,014 and 19,646

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Solution

The third proportional to 14,014 and 19,646 is: 27,541.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,014 : 19,646 = 19,646 : x
  2. Step 2: Convert to fraction form
    14,014/19,646 = 19,646/x
  3. Step 3: Cross multiply
    14,014x = 19,646 × 19,646
  4. Step 4: Simplify right side
    14,014x = 385,965,316
  5. Step 5: Solve for x
    x = 385,965,316/14,014
  6. Step 6: Final answer
    x = 27,541.41

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.