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Finding the Third Proportional to 14,620.50 and 31,093.88

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Solution

The third proportional to 14,620.50 and 31,093.88 is: 66,128.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,620.50 : 31,093.88 = 31,093.88 : x
  2. Step 2: Convert to fraction form
    14,620.50/31,093.88 = 31,093.88/x
  3. Step 3: Cross multiply
    14,620.50x = 31,093.88 × 31,093.88
  4. Step 4: Simplify right side
    14,620.50x = 966,829,062.52
  5. Step 5: Solve for x
    x = 966,829,062.52/14,620.50
  6. Step 6: Final answer
    x = 66,128.32

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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.