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Finding the Third Proportional to 7,633.50 and 10,498.50

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Solution

The third proportional to 7,633.50 and 10,498.50 is: 14,438.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,633.50 : 10,498.50 = 10,498.50 : x
  2. Step 2: Convert to fraction form
    7,633.50/10,498.50 = 10,498.50/x
  3. Step 3: Cross multiply
    7,633.50x = 10,498.50 × 10,498.50
  4. Step 4: Simplify right side
    7,633.50x = 110,218,502.25
  5. Step 5: Solve for x
    x = 110,218,502.25/7,633.50
  6. Step 6: Final answer
    x = 14,438.79

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.