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Finding the Third Proportional to 18,969.19 and 29,752.31

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Solution

The third proportional to 18,969.19 and 29,752.31 is: 46,665.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,969.19 : 29,752.31 = 29,752.31 : x
  2. Step 2: Convert to fraction form
    18,969.19/29,752.31 = 29,752.31/x
  3. Step 3: Cross multiply
    18,969.19x = 29,752.31 × 29,752.31
  4. Step 4: Simplify right side
    18,969.19x = 885,200,099.10
  5. Step 5: Solve for x
    x = 885,200,099.10/18,969.19
  6. Step 6: Final answer
    x = 46,665.16

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.