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Finding the Third Proportional to 21,923.75 and 47,350.63

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Solution

The third proportional to 21,923.75 and 47,350.63 is: 102,267.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,923.75 : 47,350.63 = 47,350.63 : x
  2. Step 2: Convert to fraction form
    21,923.75/47,350.63 = 47,350.63/x
  3. Step 3: Cross multiply
    21,923.75x = 47,350.63 × 47,350.63
  4. Step 4: Simplify right side
    21,923.75x = 2,242,081,687.89
  5. Step 5: Solve for x
    x = 2,242,081,687.89/21,923.75
  6. Step 6: Final answer
    x = 102,267.25

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.