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Finding the Third Proportional to 8,784.07 and 19,206.49

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Solution

The third proportional to 8,784.07 and 19,206.49 is: 41,995.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,784.07 : 19,206.49 = 19,206.49 : x
  2. Step 2: Convert to fraction form
    8,784.07/19,206.49 = 19,206.49/x
  3. Step 3: Cross multiply
    8,784.07x = 19,206.49 × 19,206.49
  4. Step 4: Simplify right side
    8,784.07x = 368,889,342.15
  5. Step 5: Solve for x
    x = 368,889,342.15/8,784.07
  6. Step 6: Final answer
    x = 41,995.26

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.