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Finding the Third Proportional to 9,092.25 and 19,895.63

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Solution

The third proportional to 9,092.25 and 19,895.63 is: 43,535.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,092.25 : 19,895.63 = 19,895.63 : x
  2. Step 2: Convert to fraction form
    9,092.25/19,895.63 = 19,895.63/x
  3. Step 3: Cross multiply
    9,092.25x = 19,895.63 × 19,895.63
  4. Step 4: Simplify right side
    9,092.25x = 395,835,894.14
  5. Step 5: Solve for x
    x = 395,835,894.14/9,092.25
  6. Step 6: Final answer
    x = 43,535.53

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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.