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Finding the Third Proportional to 11,056 and 15,629.50

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Solution

The third proportional to 11,056 and 15,629.50 is: 22,094.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,056 : 15,629.50 = 15,629.50 : x
  2. Step 2: Convert to fraction form
    11,056/15,629.50 = 15,629.50/x
  3. Step 3: Cross multiply
    11,056x = 15,629.50 × 15,629.50
  4. Step 4: Simplify right side
    11,056x = 244,281,270.25
  5. Step 5: Solve for x
    x = 244,281,270.25/11,056
  6. Step 6: Final answer
    x = 22,094.91

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.