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Finding the Third Proportional to 14,148 and 31,014

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Solution

The third proportional to 14,148 and 31,014 is: 67,986.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,148 : 31,014 = 31,014 : x
  2. Step 2: Convert to fraction form
    14,148/31,014 = 31,014/x
  3. Step 3: Cross multiply
    14,148x = 31,014 × 31,014
  4. Step 4: Simplify right side
    14,148x = 961,868,196
  5. Step 5: Solve for x
    x = 961,868,196/14,148
  6. Step 6: Final answer
    x = 67,986.16

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.