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Finding the Third Proportional to 14,036 and 30,658

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Solution

The third proportional to 14,036 and 30,658 is: 66,964.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,036 : 30,658 = 30,658 : x
  2. Step 2: Convert to fraction form
    14,036/30,658 = 30,658/x
  3. Step 3: Cross multiply
    14,036x = 30,658 × 30,658
  4. Step 4: Simplify right side
    14,036x = 939,912,964
  5. Step 5: Solve for x
    x = 939,912,964/14,036
  6. Step 6: Final answer
    x = 66,964.45

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.