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Finding the Third Proportional to 7,306.50 and 12,315.75

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Solution

The third proportional to 7,306.50 and 12,315.75 is: 20,759.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,306.50 : 12,315.75 = 12,315.75 : x
  2. Step 2: Convert to fraction form
    7,306.50/12,315.75 = 12,315.75/x
  3. Step 3: Cross multiply
    7,306.50x = 12,315.75 × 12,315.75
  4. Step 4: Simplify right side
    7,306.50x = 151,677,698.06
  5. Step 5: Solve for x
    x = 151,677,698.06/7,306.50
  6. Step 6: Final answer
    x = 20,759.28

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These problems maintain the same ratio (1.69) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.