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Finding the Third Proportional to 14,693.06 and 31,595.63

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Solution

The third proportional to 14,693.06 and 31,595.63 is: 67,942.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,693.06 : 31,595.63 = 31,595.63 : x
  2. Step 2: Convert to fraction form
    14,693.06/31,595.63 = 31,595.63/x
  3. Step 3: Cross multiply
    14,693.06x = 31,595.63 × 31,595.63
  4. Step 4: Simplify right side
    14,693.06x = 998,283,519.14
  5. Step 5: Solve for x
    x = 998,283,519.14/14,693.06
  6. Step 6: Final answer
    x = 67,942.51

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.