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Finding the Third Proportional to 1,330.17 and 2,924.86

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Solution

The third proportional to 1,330.17 and 2,924.86 is: 6,431.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,330.17 : 2,924.86 = 2,924.86 : x
  2. Step 2: Convert to fraction form
    1,330.17/2,924.86 = 2,924.86/x
  3. Step 3: Cross multiply
    1,330.17x = 2,924.86 × 2,924.86
  4. Step 4: Simplify right side
    1,330.17x = 8,554,802.36
  5. Step 5: Solve for x
    x = 8,554,802.36/1,330.17
  6. Step 6: Final answer
    x = 6,431.35

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.