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Finding the Third Proportional to 14,515.88 and 21,213.75

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Solution

The third proportional to 14,515.88 and 21,213.75 is: 31,002.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,515.88 : 21,213.75 = 21,213.75 : x
  2. Step 2: Convert to fraction form
    14,515.88/21,213.75 = 21,213.75/x
  3. Step 3: Cross multiply
    14,515.88x = 21,213.75 × 21,213.75
  4. Step 4: Simplify right side
    14,515.88x = 450,023,189.06
  5. Step 5: Solve for x
    x = 450,023,189.06/14,515.88
  6. Step 6: Final answer
    x = 31,002.14

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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.