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Finding the Third Proportional to 20,868.75 and 46,402.75

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Solution

The third proportional to 20,868.75 and 46,402.75 is: 103,178.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,868.75 : 46,402.75 = 46,402.75 : x
  2. Step 2: Convert to fraction form
    20,868.75/46,402.75 = 46,402.75/x
  3. Step 3: Cross multiply
    20,868.75x = 46,402.75 × 46,402.75
  4. Step 4: Simplify right side
    20,868.75x = 2,153,215,207.56
  5. Step 5: Solve for x
    x = 2,153,215,207.56/20,868.75
  6. Step 6: Final answer
    x = 103,178.93

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.