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Finding the Third Proportional to 21,037.22 and 46,023.19

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Solution

The third proportional to 21,037.22 and 46,023.19 is: 100,685.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,037.22 : 46,023.19 = 46,023.19 : x
  2. Step 2: Convert to fraction form
    21,037.22/46,023.19 = 46,023.19/x
  3. Step 3: Cross multiply
    21,037.22x = 46,023.19 × 46,023.19
  4. Step 4: Simplify right side
    21,037.22x = 2,118,133,787.66
  5. Step 5: Solve for x
    x = 2,118,133,787.66/21,037.22
  6. Step 6: Final answer
    x = 100,685.07

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.