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Finding the Third Proportional to 1,364.72 and 2,924.06

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Solution

The third proportional to 1,364.72 and 2,924.06 is: 6,265.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,364.72 : 2,924.06 = 2,924.06 : x
  2. Step 2: Convert to fraction form
    1,364.72/2,924.06 = 2,924.06/x
  3. Step 3: Cross multiply
    1,364.72x = 2,924.06 × 2,924.06
  4. Step 4: Simplify right side
    1,364.72x = 8,550,141.50
  5. Step 5: Solve for x
    x = 8,550,141.50/1,364.72
  6. Step 6: Final answer
    x = 6,265.13

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.