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Finding the Third Proportional to 14,670.50 and 31,679

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Solution

The third proportional to 14,670.50 and 31,679 is: 68,406.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,670.50 : 31,679 = 31,679 : x
  2. Step 2: Convert to fraction form
    14,670.50/31,679 = 31,679/x
  3. Step 3: Cross multiply
    14,670.50x = 31,679 × 31,679
  4. Step 4: Simplify right side
    14,670.50x = 1,003,559,041
  5. Step 5: Solve for x
    x = 1,003,559,041/14,670.50
  6. Step 6: Final answer
    x = 68,406.60

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.