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Finding the Third Proportional to 13,046.06 and 19,100.81

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Solution

The third proportional to 13,046.06 and 19,100.81 is: 27,965.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,046.06 : 19,100.81 = 19,100.81 : x
  2. Step 2: Convert to fraction form
    13,046.06/19,100.81 = 19,100.81/x
  3. Step 3: Cross multiply
    13,046.06x = 19,100.81 × 19,100.81
  4. Step 4: Simplify right side
    13,046.06x = 364,841,038.16
  5. Step 5: Solve for x
    x = 364,841,038.16/13,046.06
  6. Step 6: Final answer
    x = 27,965.61

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.