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Finding the Third Proportional to 14,580 and 31,234

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Solution

The third proportional to 14,580 and 31,234 is: 66,911.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,580 : 31,234 = 31,234 : x
  2. Step 2: Convert to fraction form
    14,580/31,234 = 31,234/x
  3. Step 3: Cross multiply
    14,580x = 31,234 × 31,234
  4. Step 4: Simplify right side
    14,580x = 975,562,756
  5. Step 5: Solve for x
    x = 975,562,756/14,580
  6. Step 6: Final answer
    x = 66,911.03

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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.