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Finding the Third Proportional to 7,050.50 and 9,498.75

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Solution

The third proportional to 7,050.50 and 9,498.75 is: 12,797.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,050.50 : 9,498.75 = 9,498.75 : x
  2. Step 2: Convert to fraction form
    7,050.50/9,498.75 = 9,498.75/x
  3. Step 3: Cross multiply
    7,050.50x = 9,498.75 × 9,498.75
  4. Step 4: Simplify right side
    7,050.50x = 90,226,251.56
  5. Step 5: Solve for x
    x = 90,226,251.56/7,050.50
  6. Step 6: Final answer
    x = 12,797.14

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.