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Finding the Third Proportional to 14,386 and 34,993

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Solution

The third proportional to 14,386 and 34,993 is: 85,118.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,386 : 34,993 = 34,993 : x
  2. Step 2: Convert to fraction form
    14,386/34,993 = 34,993/x
  3. Step 3: Cross multiply
    14,386x = 34,993 × 34,993
  4. Step 4: Simplify right side
    14,386x = 1,224,510,049
  5. Step 5: Solve for x
    x = 1,224,510,049/14,386
  6. Step 6: Final answer
    x = 85,118.17

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Why These Related Problems?

These problems maintain the same ratio (2.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.