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Finding the Third Proportional to 8,546.63 and 12,934.06

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Solution

The third proportional to 8,546.63 and 12,934.06 is: 19,573.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,546.63 : 12,934.06 = 12,934.06 : x
  2. Step 2: Convert to fraction form
    8,546.63/12,934.06 = 12,934.06/x
  3. Step 3: Cross multiply
    8,546.63x = 12,934.06 × 12,934.06
  4. Step 4: Simplify right side
    8,546.63x = 167,289,972.75
  5. Step 5: Solve for x
    x = 167,289,972.75/8,546.63
  6. Step 6: Final answer
    x = 19,573.81

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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.