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Finding the Third Proportional to 21,177.94 and 46,045.31

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Solution

The third proportional to 21,177.94 and 46,045.31 is: 100,112.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,177.94 : 46,045.31 = 46,045.31 : x
  2. Step 2: Convert to fraction form
    21,177.94/46,045.31 = 46,045.31/x
  3. Step 3: Cross multiply
    21,177.94x = 46,045.31 × 46,045.31
  4. Step 4: Simplify right side
    21,177.94x = 2,120,170,803.22
  5. Step 5: Solve for x
    x = 2,120,170,803.22/21,177.94
  6. Step 6: Final answer
    x = 100,112.24

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.