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Finding the Third Proportional to 1,924.17 and 4,156.03

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Solution

The third proportional to 1,924.17 and 4,156.03 is: 8,976.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,924.17 : 4,156.03 = 4,156.03 : x
  2. Step 2: Convert to fraction form
    1,924.17/4,156.03 = 4,156.03/x
  3. Step 3: Cross multiply
    1,924.17x = 4,156.03 × 4,156.03
  4. Step 4: Simplify right side
    1,924.17x = 17,272,595.75
  5. Step 5: Solve for x
    x = 17,272,595.75/1,924.17
  6. Step 6: Final answer
    x = 8,976.64

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.