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Finding the Third Proportional to 6,689.67 and 10,417.50

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Solution

The third proportional to 6,689.67 and 10,417.50 is: 16,222.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,689.67 : 10,417.50 = 10,417.50 : x
  2. Step 2: Convert to fraction form
    6,689.67/10,417.50 = 10,417.50/x
  3. Step 3: Cross multiply
    6,689.67x = 10,417.50 × 10,417.50
  4. Step 4: Simplify right side
    6,689.67x = 108,524,306.25
  5. Step 5: Solve for x
    x = 108,524,306.25/6,689.67
  6. Step 6: Final answer
    x = 16,222.67

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.