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Finding the Third Proportional to 2,164.31 and 3,095.06

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Solution

The third proportional to 2,164.31 and 3,095.06 is: 4,426.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,164.31 : 3,095.06 = 3,095.06 : x
  2. Step 2: Convert to fraction form
    2,164.31/3,095.06 = 3,095.06/x
  3. Step 3: Cross multiply
    2,164.31x = 3,095.06 × 3,095.06
  4. Step 4: Simplify right side
    2,164.31x = 9,579,411.88
  5. Step 5: Solve for x
    x = 9,579,411.88/2,164.31
  6. Step 6: Final answer
    x = 4,426.08

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.