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Finding the Third Proportional to 2,614.36 and 5,705.02

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Solution

The third proportional to 2,614.36 and 5,705.02 is: 12,449.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,614.36 : 5,705.02 = 5,705.02 : x
  2. Step 2: Convert to fraction form
    2,614.36/5,705.02 = 5,705.02/x
  3. Step 3: Cross multiply
    2,614.36x = 5,705.02 × 5,705.02
  4. Step 4: Simplify right side
    2,614.36x = 32,547,203.28
  5. Step 5: Solve for x
    x = 32,547,203.28/2,614.36
  6. Step 6: Final answer
    x = 12,449.40

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.