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Finding the Third Proportional to 10,643.06 and 16,659.84

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Solution

The third proportional to 10,643.06 and 16,659.84 is: 26,078.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,643.06 : 16,659.84 = 16,659.84 : x
  2. Step 2: Convert to fraction form
    10,643.06/16,659.84 = 16,659.84/x
  3. Step 3: Cross multiply
    10,643.06x = 16,659.84 × 16,659.84
  4. Step 4: Simplify right side
    10,643.06x = 277,550,393.77
  5. Step 5: Solve for x
    x = 277,550,393.77/10,643.06
  6. Step 6: Final answer
    x = 26,078.06

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.