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Finding the Third Proportional to 14,589.56 and 21,366.84

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Solution

The third proportional to 14,589.56 and 21,366.84 is: 31,292.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,589.56 : 21,366.84 = 21,366.84 : x
  2. Step 2: Convert to fraction form
    14,589.56/21,366.84 = 21,366.84/x
  3. Step 3: Cross multiply
    14,589.56x = 21,366.84 × 21,366.84
  4. Step 4: Simplify right side
    14,589.56x = 456,542,011.84
  5. Step 5: Solve for x
    x = 456,542,011.84/14,589.56
  6. Step 6: Final answer
    x = 31,292.37

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.