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Finding the Third Proportional to 11,042.88 and 23,967.63

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Solution

The third proportional to 11,042.88 and 23,967.63 is: 52,019.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,042.88 : 23,967.63 = 23,967.63 : x
  2. Step 2: Convert to fraction form
    11,042.88/23,967.63 = 23,967.63/x
  3. Step 3: Cross multiply
    11,042.88x = 23,967.63 × 23,967.63
  4. Step 4: Simplify right side
    11,042.88x = 574,447,048.14
  5. Step 5: Solve for x
    x = 574,447,048.14/11,042.88
  6. Step 6: Final answer
    x = 52,019.70

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.