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Finding the Third Proportional to 9,313.50 and 19,584

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Solution

The third proportional to 9,313.50 and 19,584 is: 41,180.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,313.50 : 19,584 = 19,584 : x
  2. Step 2: Convert to fraction form
    9,313.50/19,584 = 19,584/x
  3. Step 3: Cross multiply
    9,313.50x = 19,584 × 19,584
  4. Step 4: Simplify right side
    9,313.50x = 383,533,056
  5. Step 5: Solve for x
    x = 383,533,056/9,313.50
  6. Step 6: Final answer
    x = 41,180.34

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.