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Finding the Third Proportional to 43,591.50 and 65,708.06

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Solution

The third proportional to 43,591.50 and 65,708.06 is: 99,045.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,591.50 : 65,708.06 = 65,708.06 : x
  2. Step 2: Convert to fraction form
    43,591.50/65,708.06 = 65,708.06/x
  3. Step 3: Cross multiply
    43,591.50x = 65,708.06 × 65,708.06
  4. Step 4: Simplify right side
    43,591.50x = 4,317,549,477.50
  5. Step 5: Solve for x
    x = 4,317,549,477.50/43,591.50
  6. Step 6: Final answer
    x = 99,045.67

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.