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Finding the Third Proportional to 7,116.75 and 9,500.63

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Solution

The third proportional to 7,116.75 and 9,500.63 is: 12,683.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,116.75 : 9,500.63 = 9,500.63 : x
  2. Step 2: Convert to fraction form
    7,116.75/9,500.63 = 9,500.63/x
  3. Step 3: Cross multiply
    7,116.75x = 9,500.63 × 9,500.63
  4. Step 4: Simplify right side
    7,116.75x = 90,261,875.39
  5. Step 5: Solve for x
    x = 90,261,875.39/7,116.75
  6. Step 6: Final answer
    x = 12,683.02

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These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.