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Finding the Third Proportional to 11,153.63 and 15,294.09

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Solution

The third proportional to 11,153.63 and 15,294.09 is: 20,971.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,153.63 : 15,294.09 = 15,294.09 : x
  2. Step 2: Convert to fraction form
    11,153.63/15,294.09 = 15,294.09/x
  3. Step 3: Cross multiply
    11,153.63x = 15,294.09 × 15,294.09
  4. Step 4: Simplify right side
    11,153.63x = 233,909,303.63
  5. Step 5: Solve for x
    x = 233,909,303.63/11,153.63
  6. Step 6: Final answer
    x = 20,971.59

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.