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Finding the Third Proportional to 22,764.94 and 46,432.13

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Solution

The third proportional to 22,764.94 and 46,432.13 is: 94,704.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,764.94 : 46,432.13 = 46,432.13 : x
  2. Step 2: Convert to fraction form
    22,764.94/46,432.13 = 46,432.13/x
  3. Step 3: Cross multiply
    22,764.94x = 46,432.13 × 46,432.13
  4. Step 4: Simplify right side
    22,764.94x = 2,155,942,232.02
  5. Step 5: Solve for x
    x = 2,155,942,232.02/22,764.94
  6. Step 6: Final answer
    x = 94,704.51

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.