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Finding the Third Proportional to 16,693.13 and 25,997.06

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Solution

The third proportional to 16,693.13 and 25,997.06 is: 40,486.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,693.13 : 25,997.06 = 25,997.06 : x
  2. Step 2: Convert to fraction form
    16,693.13/25,997.06 = 25,997.06/x
  3. Step 3: Cross multiply
    16,693.13x = 25,997.06 × 25,997.06
  4. Step 4: Simplify right side
    16,693.13x = 675,847,258.63
  5. Step 5: Solve for x
    x = 675,847,258.63/16,693.13
  6. Step 6: Final answer
    x = 40,486.56

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.