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Finding the Third Proportional to 18,938.81 and 44,765.16

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Solution

The third proportional to 18,938.81 and 44,765.16 is: 105,810.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,938.81 : 44,765.16 = 44,765.16 : x
  2. Step 2: Convert to fraction form
    18,938.81/44,765.16 = 44,765.16/x
  3. Step 3: Cross multiply
    18,938.81x = 44,765.16 × 44,765.16
  4. Step 4: Simplify right side
    18,938.81x = 2,003,919,214.09
  5. Step 5: Solve for x
    x = 2,003,919,214.09/18,938.81
  6. Step 6: Final answer
    x = 105,810.18

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.