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Finding the Third Proportional to 19,364.06 and 21,146.06

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Solution

The third proportional to 19,364.06 and 21,146.06 is: 23,092.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,364.06 : 21,146.06 = 21,146.06 : x
  2. Step 2: Convert to fraction form
    19,364.06/21,146.06 = 21,146.06/x
  3. Step 3: Cross multiply
    19,364.06x = 21,146.06 × 21,146.06
  4. Step 4: Simplify right side
    19,364.06x = 447,155,959.25
  5. Step 5: Solve for x
    x = 447,155,959.25/19,364.06
  6. Step 6: Final answer
    x = 23,092.05

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Why These Related Problems?

These problems maintain the same ratio (1.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.