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Finding the Third Proportional to 922.64 and 2,192.06

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Solution

The third proportional to 922.64 and 2,192.06 is: 5,208.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    922.64 : 2,192.06 = 2,192.06 : x
  2. Step 2: Convert to fraction form
    922.64/2,192.06 = 2,192.06/x
  3. Step 3: Cross multiply
    922.64x = 2,192.06 × 2,192.06
  4. Step 4: Simplify right side
    922.64x = 4,805,138.00
  5. Step 5: Solve for x
    x = 4,805,138.00/922.64
  6. Step 6: Final answer
    x = 5,208.03

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Why These Related Problems?

These problems maintain the same ratio (2.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.