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Finding the Third Proportional to 6,527.25 and 15,224.63

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Solution

The third proportional to 6,527.25 and 15,224.63 is: 35,511.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,527.25 : 15,224.63 = 15,224.63 : x
  2. Step 2: Convert to fraction form
    6,527.25/15,224.63 = 15,224.63/x
  3. Step 3: Cross multiply
    6,527.25x = 15,224.63 × 15,224.63
  4. Step 4: Simplify right side
    6,527.25x = 231,789,206.39
  5. Step 5: Solve for x
    x = 231,789,206.39/6,527.25
  6. Step 6: Final answer
    x = 35,511.00

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.