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Finding the Third Proportional to 11,300.92 and 24,754.68

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Solution

The third proportional to 11,300.92 and 24,754.68 is: 54,225.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,300.92 : 24,754.68 = 24,754.68 : x
  2. Step 2: Convert to fraction form
    11,300.92/24,754.68 = 24,754.68/x
  3. Step 3: Cross multiply
    11,300.92x = 24,754.68 × 24,754.68
  4. Step 4: Simplify right side
    11,300.92x = 612,793,973.03
  5. Step 5: Solve for x
    x = 612,793,973.03/11,300.92
  6. Step 6: Final answer
    x = 54,225.12

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.