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Finding the Third Proportional to 34,008.19 and 43,373.81

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Solution

The third proportional to 34,008.19 and 43,373.81 is: 55,318.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,008.19 : 43,373.81 = 43,373.81 : x
  2. Step 2: Convert to fraction form
    34,008.19/43,373.81 = 43,373.81/x
  3. Step 3: Cross multiply
    34,008.19x = 43,373.81 × 43,373.81
  4. Step 4: Simplify right side
    34,008.19x = 1,881,287,610.79
  5. Step 5: Solve for x
    x = 1,881,287,610.79/34,008.19
  6. Step 6: Final answer
    x = 55,318.67

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Why These Related Problems?

These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.