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Finding the Third Proportional to 21,149.44 and 46,482.19

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Solution

The third proportional to 21,149.44 and 46,482.19 is: 102,158.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,149.44 : 46,482.19 = 46,482.19 : x
  2. Step 2: Convert to fraction form
    21,149.44/46,482.19 = 46,482.19/x
  3. Step 3: Cross multiply
    21,149.44x = 46,482.19 × 46,482.19
  4. Step 4: Simplify right side
    21,149.44x = 2,160,593,754.79
  5. Step 5: Solve for x
    x = 2,160,593,754.79/21,149.44
  6. Step 6: Final answer
    x = 102,158.45

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.