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Finding the Third Proportional to 9,392.63 and 21,731.63

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Solution

The third proportional to 9,392.63 and 21,731.63 is: 50,280.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,392.63 : 21,731.63 = 21,731.63 : x
  2. Step 2: Convert to fraction form
    9,392.63/21,731.63 = 21,731.63/x
  3. Step 3: Cross multiply
    9,392.63x = 21,731.63 × 21,731.63
  4. Step 4: Simplify right side
    9,392.63x = 472,263,525.14
  5. Step 5: Solve for x
    x = 472,263,525.14/9,392.63
  6. Step 6: Final answer
    x = 50,280.25

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.