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Finding the Third Proportional to 22,933.25 and 46,838.50

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Solution

The third proportional to 22,933.25 and 46,838.50 is: 95,662.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,933.25 : 46,838.50 = 46,838.50 : x
  2. Step 2: Convert to fraction form
    22,933.25/46,838.50 = 46,838.50/x
  3. Step 3: Cross multiply
    22,933.25x = 46,838.50 × 46,838.50
  4. Step 4: Simplify right side
    22,933.25x = 2,193,845,082.25
  5. Step 5: Solve for x
    x = 2,193,845,082.25/22,933.25
  6. Step 6: Final answer
    x = 95,662.20

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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.