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Finding the Third Proportional to 30,224.81 and 44,291.81

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Solution

The third proportional to 30,224.81 and 44,291.81 is: 64,905.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,224.81 : 44,291.81 = 44,291.81 : x
  2. Step 2: Convert to fraction form
    30,224.81/44,291.81 = 44,291.81/x
  3. Step 3: Cross multiply
    30,224.81x = 44,291.81 × 44,291.81
  4. Step 4: Simplify right side
    30,224.81x = 1,961,764,654.54
  5. Step 5: Solve for x
    x = 1,961,764,654.54/30,224.81
  6. Step 6: Final answer
    x = 64,905.77

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.