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Finding the Third Proportional to 10,693.69 and 22,885.88

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Solution

The third proportional to 10,693.69 and 22,885.88 is: 48,978.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,693.69 : 22,885.88 = 22,885.88 : x
  2. Step 2: Convert to fraction form
    10,693.69/22,885.88 = 22,885.88/x
  3. Step 3: Cross multiply
    10,693.69x = 22,885.88 × 22,885.88
  4. Step 4: Simplify right side
    10,693.69x = 523,763,274.52
  5. Step 5: Solve for x
    x = 523,763,274.52/10,693.69
  6. Step 6: Final answer
    x = 48,978.73

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.