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Finding the Third Proportional to 21,993.19 and 47,957.06

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Solution

The third proportional to 21,993.19 and 47,957.06 is: 104,572.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,993.19 : 47,957.06 = 47,957.06 : x
  2. Step 2: Convert to fraction form
    21,993.19/47,957.06 = 47,957.06/x
  3. Step 3: Cross multiply
    21,993.19x = 47,957.06 × 47,957.06
  4. Step 4: Simplify right side
    21,993.19x = 2,299,879,843.63
  5. Step 5: Solve for x
    x = 2,299,879,843.63/21,993.19
  6. Step 6: Final answer
    x = 104,572.37

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.