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Finding the Third Proportional to 46,672.50 and 70,874.25

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Solution

The third proportional to 46,672.50 and 70,874.25 is: 107,625.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,672.50 : 70,874.25 = 70,874.25 : x
  2. Step 2: Convert to fraction form
    46,672.50/70,874.25 = 70,874.25/x
  3. Step 3: Cross multiply
    46,672.50x = 70,874.25 × 70,874.25
  4. Step 4: Simplify right side
    46,672.50x = 5,023,159,313.06
  5. Step 5: Solve for x
    x = 5,023,159,313.06/46,672.50
  6. Step 6: Final answer
    x = 107,625.67

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.