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Finding the Third Proportional to 8,820.38 and 13,511.63

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Solution

The third proportional to 8,820.38 and 13,511.63 is: 20,697.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,820.38 : 13,511.63 = 13,511.63 : x
  2. Step 2: Convert to fraction form
    8,820.38/13,511.63 = 13,511.63/x
  3. Step 3: Cross multiply
    8,820.38x = 13,511.63 × 13,511.63
  4. Step 4: Simplify right side
    8,820.38x = 182,564,010.14
  5. Step 5: Solve for x
    x = 182,564,010.14/8,820.38
  6. Step 6: Final answer
    x = 20,697.99

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.