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Finding the Third Proportional to 14,497.31 and 30,893.06

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Solution

The third proportional to 14,497.31 and 30,893.06 is: 65,831.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,497.31 : 30,893.06 = 30,893.06 : x
  2. Step 2: Convert to fraction form
    14,497.31/30,893.06 = 30,893.06/x
  3. Step 3: Cross multiply
    14,497.31x = 30,893.06 × 30,893.06
  4. Step 4: Simplify right side
    14,497.31x = 954,381,310.63
  5. Step 5: Solve for x
    x = 954,381,310.63/14,497.31
  6. Step 6: Final answer
    x = 65,831.60

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.