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Finding the Third Proportional to 830.57 and 952.07

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Solution

The third proportional to 830.57 and 952.07 is: 1,091.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    830.57 : 952.07 = 952.07 : x
  2. Step 2: Convert to fraction form
    830.57/952.07 = 952.07/x
  3. Step 3: Cross multiply
    830.57x = 952.07 × 952.07
  4. Step 4: Simplify right side
    830.57x = 906,430.44
  5. Step 5: Solve for x
    x = 906,430.44/830.57
  6. Step 6: Final answer
    x = 1,091.34

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Why These Related Problems?

These problems maintain the same ratio (1.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.