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Finding the Third Proportional to 7,228.13 and 10,567.69

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Solution

The third proportional to 7,228.13 and 10,567.69 is: 15,450.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,228.13 : 10,567.69 = 10,567.69 : x
  2. Step 2: Convert to fraction form
    7,228.13/10,567.69 = 10,567.69/x
  3. Step 3: Cross multiply
    7,228.13x = 10,567.69 × 10,567.69
  4. Step 4: Simplify right side
    7,228.13x = 111,676,019.10
  5. Step 5: Solve for x
    x = 111,676,019.10/7,228.13
  6. Step 6: Final answer
    x = 15,450.21

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.