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Finding the Third Proportional to 9,360 and 16,024

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Solution

The third proportional to 9,360 and 16,024 is: 27,432.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,360 : 16,024 = 16,024 : x
  2. Step 2: Convert to fraction form
    9,360/16,024 = 16,024/x
  3. Step 3: Cross multiply
    9,360x = 16,024 × 16,024
  4. Step 4: Simplify right side
    9,360x = 256,768,576
  5. Step 5: Solve for x
    x = 256,768,576/9,360
  6. Step 6: Final answer
    x = 27,432.54

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Why These Related Problems?

These problems maintain the same ratio (1.71) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.