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Finding the Third Proportional to 9,780.75 and 19,068.75

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Solution

The third proportional to 9,780.75 and 19,068.75 is: 37,176.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,780.75 : 19,068.75 = 19,068.75 : x
  2. Step 2: Convert to fraction form
    9,780.75/19,068.75 = 19,068.75/x
  3. Step 3: Cross multiply
    9,780.75x = 19,068.75 × 19,068.75
  4. Step 4: Simplify right side
    9,780.75x = 363,617,226.56
  5. Step 5: Solve for x
    x = 363,617,226.56/9,780.75
  6. Step 6: Final answer
    x = 37,176.82

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.