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Finding the Third Proportional to 14,407 and 31,000

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Solution

The third proportional to 14,407 and 31,000 is: 66,703.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,407 : 31,000 = 31,000 : x
  2. Step 2: Convert to fraction form
    14,407/31,000 = 31,000/x
  3. Step 3: Cross multiply
    14,407x = 31,000 × 31,000
  4. Step 4: Simplify right side
    14,407x = 961,000,000
  5. Step 5: Solve for x
    x = 961,000,000/14,407
  6. Step 6: Final answer
    x = 66,703.69

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.