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Finding the Third Proportional to 10,149.05 and 11,558.64

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Solution

The third proportional to 10,149.05 and 11,558.64 is: 13,164.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,149.05 : 11,558.64 = 11,558.64 : x
  2. Step 2: Convert to fraction form
    10,149.05/11,558.64 = 11,558.64/x
  3. Step 3: Cross multiply
    10,149.05x = 11,558.64 × 11,558.64
  4. Step 4: Simplify right side
    10,149.05x = 133,602,082.80
  5. Step 5: Solve for x
    x = 133,602,082.80/10,149.05
  6. Step 6: Final answer
    x = 13,164.00

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Why These Related Problems?

These problems maintain the same ratio (1.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.