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Finding the Third Proportional to 5,623.88 and 11,085.75

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Solution

The third proportional to 5,623.88 and 11,085.75 is: 21,852.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,623.88 : 11,085.75 = 11,085.75 : x
  2. Step 2: Convert to fraction form
    5,623.88/11,085.75 = 11,085.75/x
  3. Step 3: Cross multiply
    5,623.88x = 11,085.75 × 11,085.75
  4. Step 4: Simplify right side
    5,623.88x = 122,893,853.06
  5. Step 5: Solve for x
    x = 122,893,853.06/5,623.88
  6. Step 6: Final answer
    x = 21,852.17

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.