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Finding the Third Proportional to 46,452 and 70,770

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Solution

The third proportional to 46,452 and 70,770 is: 107,818.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,452 : 70,770 = 70,770 : x
  2. Step 2: Convert to fraction form
    46,452/70,770 = 70,770/x
  3. Step 3: Cross multiply
    46,452x = 70,770 × 70,770
  4. Step 4: Simplify right side
    46,452x = 5,008,392,900
  5. Step 5: Solve for x
    x = 5,008,392,900/46,452
  6. Step 6: Final answer
    x = 107,818.67

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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.