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Finding the Third Proportional to 15,527.13 and 21,949.63

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Solution

The third proportional to 15,527.13 and 21,949.63 is: 31,028.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,527.13 : 21,949.63 = 21,949.63 : x
  2. Step 2: Convert to fraction form
    15,527.13/21,949.63 = 21,949.63/x
  3. Step 3: Cross multiply
    15,527.13x = 21,949.63 × 21,949.63
  4. Step 4: Simplify right side
    15,527.13x = 481,786,037.64
  5. Step 5: Solve for x
    x = 481,786,037.64/15,527.13
  6. Step 6: Final answer
    x = 31,028.67

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.