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Finding the Third Proportional to 4,672.69 and 9,504.84

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Solution

The third proportional to 4,672.69 and 9,504.84 is: 19,334.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,672.69 : 9,504.84 = 9,504.84 : x
  2. Step 2: Convert to fraction form
    4,672.69/9,504.84 = 9,504.84/x
  3. Step 3: Cross multiply
    4,672.69x = 9,504.84 × 9,504.84
  4. Step 4: Simplify right side
    4,672.69x = 90,342,054.71
  5. Step 5: Solve for x
    x = 90,342,054.71/4,672.69
  6. Step 6: Final answer
    x = 19,334.07

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.