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Finding the Third Proportional to 9,153.28 and 19,977.19

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Solution

The third proportional to 9,153.28 and 19,977.19 is: 43,600.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,153.28 : 19,977.19 = 19,977.19 : x
  2. Step 2: Convert to fraction form
    9,153.28/19,977.19 = 19,977.19/x
  3. Step 3: Cross multiply
    9,153.28x = 19,977.19 × 19,977.19
  4. Step 4: Simplify right side
    9,153.28x = 399,088,020.41
  5. Step 5: Solve for x
    x = 399,088,020.41/9,153.28
  6. Step 6: Final answer
    x = 43,600.54

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.