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Finding the Third Proportional to 9,513 and 14,629.50

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Solution

The third proportional to 9,513 and 14,629.50 is: 22,497.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,513 : 14,629.50 = 14,629.50 : x
  2. Step 2: Convert to fraction form
    9,513/14,629.50 = 14,629.50/x
  3. Step 3: Cross multiply
    9,513x = 14,629.50 × 14,629.50
  4. Step 4: Simplify right side
    9,513x = 214,022,270.25
  5. Step 5: Solve for x
    x = 214,022,270.25/9,513
  6. Step 6: Final answer
    x = 22,497.87

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.