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Finding the Third Proportional to 14,586 and 21,571

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Solution

The third proportional to 14,586 and 21,571 is: 31,901.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,586 : 21,571 = 21,571 : x
  2. Step 2: Convert to fraction form
    14,586/21,571 = 21,571/x
  3. Step 3: Cross multiply
    14,586x = 21,571 × 21,571
  4. Step 4: Simplify right side
    14,586x = 465,308,041
  5. Step 5: Solve for x
    x = 465,308,041/14,586
  6. Step 6: Final answer
    x = 31,901.00

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.