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Finding the Third Proportional to 11,464.31 and 17,312.06

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Solution

The third proportional to 11,464.31 and 17,312.06 is: 26,142.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,464.31 : 17,312.06 = 17,312.06 : x
  2. Step 2: Convert to fraction form
    11,464.31/17,312.06 = 17,312.06/x
  3. Step 3: Cross multiply
    11,464.31x = 17,312.06 × 17,312.06
  4. Step 4: Simplify right side
    11,464.31x = 299,707,508.00
  5. Step 5: Solve for x
    x = 299,707,508.00/11,464.31
  6. Step 6: Final answer
    x = 26,142.65

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.