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Finding the Third Proportional to 20,700.35 and 46,084.15

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Solution

The third proportional to 20,700.35 and 46,084.15 is: 102,594.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,700.35 : 46,084.15 = 46,084.15 : x
  2. Step 2: Convert to fraction form
    20,700.35/46,084.15 = 46,084.15/x
  3. Step 3: Cross multiply
    20,700.35x = 46,084.15 × 46,084.15
  4. Step 4: Simplify right side
    20,700.35x = 2,123,748,737.21
  5. Step 5: Solve for x
    x = 2,123,748,737.21/20,700.35
  6. Step 6: Final answer
    x = 102,594.81

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.