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Finding the Third Proportional to 21,525.75 and 46,180.13

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Solution

The third proportional to 21,525.75 and 46,180.13 is: 99,072.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,525.75 : 46,180.13 = 46,180.13 : x
  2. Step 2: Convert to fraction form
    21,525.75/46,180.13 = 46,180.13/x
  3. Step 3: Cross multiply
    21,525.75x = 46,180.13 × 46,180.13
  4. Step 4: Simplify right side
    21,525.75x = 2,132,603,945.02
  5. Step 5: Solve for x
    x = 2,132,603,945.02/21,525.75
  6. Step 6: Final answer
    x = 99,072.22

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.