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Finding the Third Proportional to 14,555 and 31,834

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Solution

The third proportional to 14,555 and 31,834 is: 69,625.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,555 : 31,834 = 31,834 : x
  2. Step 2: Convert to fraction form
    14,555/31,834 = 31,834/x
  3. Step 3: Cross multiply
    14,555x = 31,834 × 31,834
  4. Step 4: Simplify right side
    14,555x = 1,013,403,556
  5. Step 5: Solve for x
    x = 1,013,403,556/14,555
  6. Step 6: Final answer
    x = 69,625.80

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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.