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Finding the Third Proportional to 17,010.75 and 22,235.63

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Solution

The third proportional to 17,010.75 and 22,235.63 is: 29,065.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,010.75 : 22,235.63 = 22,235.63 : x
  2. Step 2: Convert to fraction form
    17,010.75/22,235.63 = 22,235.63/x
  3. Step 3: Cross multiply
    17,010.75x = 22,235.63 × 22,235.63
  4. Step 4: Simplify right side
    17,010.75x = 494,423,019.14
  5. Step 5: Solve for x
    x = 494,423,019.14/17,010.75
  6. Step 6: Final answer
    x = 29,065.33

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.