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Finding the Third Proportional to 11,542.69 and 24,907.88

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Solution

The third proportional to 11,542.69 and 24,907.88 is: 53,748.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,542.69 : 24,907.88 = 24,907.88 : x
  2. Step 2: Convert to fraction form
    11,542.69/24,907.88 = 24,907.88/x
  3. Step 3: Cross multiply
    11,542.69x = 24,907.88 × 24,907.88
  4. Step 4: Simplify right side
    11,542.69x = 620,402,237.02
  5. Step 5: Solve for x
    x = 620,402,237.02/11,542.69
  6. Step 6: Final answer
    x = 53,748.51

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.