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Finding the Third Proportional to 21,525.75 and 46,510.45

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Solution

The third proportional to 21,525.75 and 46,510.45 is: 100,494.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,525.75 : 46,510.45 = 46,510.45 : x
  2. Step 2: Convert to fraction form
    21,525.75/46,510.45 = 46,510.45/x
  3. Step 3: Cross multiply
    21,525.75x = 46,510.45 × 46,510.45
  4. Step 4: Simplify right side
    21,525.75x = 2,163,222,249.89
  5. Step 5: Solve for x
    x = 2,163,222,249.89/21,525.75
  6. Step 6: Final answer
    x = 100,494.63

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