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Finding the Third Proportional to 9,832.50 and 14,716.50

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Solution

The third proportional to 9,832.50 and 14,716.50 is: 22,026.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,832.50 : 14,716.50 = 14,716.50 : x
  2. Step 2: Convert to fraction form
    9,832.50/14,716.50 = 14,716.50/x
  3. Step 3: Cross multiply
    9,832.50x = 14,716.50 × 14,716.50
  4. Step 4: Simplify right side
    9,832.50x = 216,575,372.25
  5. Step 5: Solve for x
    x = 216,575,372.25/9,832.50
  6. Step 6: Final answer
    x = 22,026.48

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.