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Finding the Third Proportional to 14,246.50 and 30,437

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Solution

The third proportional to 14,246.50 and 30,437 is: 65,027.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,246.50 : 30,437 = 30,437 : x
  2. Step 2: Convert to fraction form
    14,246.50/30,437 = 30,437/x
  3. Step 3: Cross multiply
    14,246.50x = 30,437 × 30,437
  4. Step 4: Simplify right side
    14,246.50x = 926,410,969
  5. Step 5: Solve for x
    x = 926,410,969/14,246.50
  6. Step 6: Final answer
    x = 65,027.27

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.