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Finding the Third Proportional to 2,950.88 and 5,430.75

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Solution

The third proportional to 2,950.88 and 5,430.75 is: 9,994.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,950.88 : 5,430.75 = 5,430.75 : x
  2. Step 2: Convert to fraction form
    2,950.88/5,430.75 = 5,430.75/x
  3. Step 3: Cross multiply
    2,950.88x = 5,430.75 × 5,430.75
  4. Step 4: Simplify right side
    2,950.88x = 29,493,045.56
  5. Step 5: Solve for x
    x = 29,493,045.56/2,950.88
  6. Step 6: Final answer
    x = 9,994.68

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Why These Related Problems?

These problems maintain the same ratio (1.84) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.