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Finding the Third Proportional to 11,953.13 and 17,506.69

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Solution

The third proportional to 11,953.13 and 17,506.69 is: 25,640.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,953.13 : 17,506.69 = 17,506.69 : x
  2. Step 2: Convert to fraction form
    11,953.13/17,506.69 = 17,506.69/x
  3. Step 3: Cross multiply
    11,953.13x = 17,506.69 × 17,506.69
  4. Step 4: Simplify right side
    11,953.13x = 306,484,107.22
  5. Step 5: Solve for x
    x = 306,484,107.22/11,953.13
  6. Step 6: Final answer
    x = 25,640.50

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.