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Finding the Third Proportional to 9,582.75 and 14,037.75

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Solution

The third proportional to 9,582.75 and 14,037.75 is: 20,563.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,582.75 : 14,037.75 = 14,037.75 : x
  2. Step 2: Convert to fraction form
    9,582.75/14,037.75 = 14,037.75/x
  3. Step 3: Cross multiply
    9,582.75x = 14,037.75 × 14,037.75
  4. Step 4: Simplify right side
    9,582.75x = 197,058,425.06
  5. Step 5: Solve for x
    x = 197,058,425.06/9,582.75
  6. Step 6: Final answer
    x = 20,563.87

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.