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Finding the Third Proportional to 22,360 and 46,137.50

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Solution

The third proportional to 22,360 and 46,137.50 is: 95,199.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,360 : 46,137.50 = 46,137.50 : x
  2. Step 2: Convert to fraction form
    22,360/46,137.50 = 46,137.50/x
  3. Step 3: Cross multiply
    22,360x = 46,137.50 × 46,137.50
  4. Step 4: Simplify right side
    22,360x = 2,128,668,906.25
  5. Step 5: Solve for x
    x = 2,128,668,906.25/22,360
  6. Step 6: Final answer
    x = 95,199.86

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.