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Finding the Third Proportional to 14,472 and 31,313

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Solution

The third proportional to 14,472 and 31,313 is: 67,751.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,472 : 31,313 = 31,313 : x
  2. Step 2: Convert to fraction form
    14,472/31,313 = 31,313/x
  3. Step 3: Cross multiply
    14,472x = 31,313 × 31,313
  4. Step 4: Simplify right side
    14,472x = 980,503,969
  5. Step 5: Solve for x
    x = 980,503,969/14,472
  6. Step 6: Final answer
    x = 67,751.79

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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.