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Finding the Third Proportional to 8,773.25 and 19,186.50

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Solution

The third proportional to 8,773.25 and 19,186.50 is: 41,959.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,773.25 : 19,186.50 = 19,186.50 : x
  2. Step 2: Convert to fraction form
    8,773.25/19,186.50 = 19,186.50/x
  3. Step 3: Cross multiply
    8,773.25x = 19,186.50 × 19,186.50
  4. Step 4: Simplify right side
    8,773.25x = 368,121,782.25
  5. Step 5: Solve for x
    x = 368,121,782.25/8,773.25
  6. Step 6: Final answer
    x = 41,959.57

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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.