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Finding the Third Proportional to 9,664.31 and 15,967.13

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Solution

The third proportional to 9,664.31 and 15,967.13 is: 26,380.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,664.31 : 15,967.13 = 15,967.13 : x
  2. Step 2: Convert to fraction form
    9,664.31/15,967.13 = 15,967.13/x
  3. Step 3: Cross multiply
    9,664.31x = 15,967.13 × 15,967.13
  4. Step 4: Simplify right side
    9,664.31x = 254,949,080.77
  5. Step 5: Solve for x
    x = 254,949,080.77/9,664.31
  6. Step 6: Final answer
    x = 26,380.47

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Why These Related Problems?

These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.