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Finding the Third Proportional to 10,904.63 and 16,353.14

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Solution

The third proportional to 10,904.63 and 16,353.14 is: 24,524.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,904.63 : 16,353.14 = 16,353.14 : x
  2. Step 2: Convert to fraction form
    10,904.63/16,353.14 = 16,353.14/x
  3. Step 3: Cross multiply
    10,904.63x = 16,353.14 × 16,353.14
  4. Step 4: Simplify right side
    10,904.63x = 267,425,208.30
  5. Step 5: Solve for x
    x = 267,425,208.30/10,904.63
  6. Step 6: Final answer
    x = 24,524.02

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.