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Finding the Third Proportional to 46,313 and 66,917.50

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Solution

The third proportional to 46,313 and 66,917.50 is: 96,688.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,313 : 66,917.50 = 66,917.50 : x
  2. Step 2: Convert to fraction form
    46,313/66,917.50 = 66,917.50/x
  3. Step 3: Cross multiply
    46,313x = 66,917.50 × 66,917.50
  4. Step 4: Simplify right side
    46,313x = 4,477,951,806.25
  5. Step 5: Solve for x
    x = 4,477,951,806.25/46,313
  6. Step 6: Final answer
    x = 96,688.87

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.