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Finding the Third Proportional to 14,571 and 31,219

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Solution

The third proportional to 14,571 and 31,219 is: 66,888.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,571 : 31,219 = 31,219 : x
  2. Step 2: Convert to fraction form
    14,571/31,219 = 31,219/x
  3. Step 3: Cross multiply
    14,571x = 31,219 × 31,219
  4. Step 4: Simplify right side
    14,571x = 974,625,961
  5. Step 5: Solve for x
    x = 974,625,961/14,571
  6. Step 6: Final answer
    x = 66,888.06

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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.