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Finding the Third Proportional to 18,694 and 29,014

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Solution

The third proportional to 18,694 and 29,014 is: 45,031.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,694 : 29,014 = 29,014 : x
  2. Step 2: Convert to fraction form
    18,694/29,014 = 29,014/x
  3. Step 3: Cross multiply
    18,694x = 29,014 × 29,014
  4. Step 4: Simplify right side
    18,694x = 841,812,196
  5. Step 5: Solve for x
    x = 841,812,196/18,694
  6. Step 6: Final answer
    x = 45,031.14

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.