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Finding the Third Proportional to 9,780.12 and 14,716.05

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Solution

The third proportional to 9,780.12 and 14,716.05 is: 22,143.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,780.12 : 14,716.05 = 14,716.05 : x
  2. Step 2: Convert to fraction form
    9,780.12/14,716.05 = 14,716.05/x
  3. Step 3: Cross multiply
    9,780.12x = 14,716.05 × 14,716.05
  4. Step 4: Simplify right side
    9,780.12x = 216,562,265.57
  5. Step 5: Solve for x
    x = 216,562,265.57/9,780.12
  6. Step 6: Final answer
    x = 22,143.12

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.