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Finding the Third Proportional to 4,513.88 and 6,975.56

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Solution

The third proportional to 4,513.88 and 6,975.56 is: 10,779.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,513.88 : 6,975.56 = 6,975.56 : x
  2. Step 2: Convert to fraction form
    4,513.88/6,975.56 = 6,975.56/x
  3. Step 3: Cross multiply
    4,513.88x = 6,975.56 × 6,975.56
  4. Step 4: Simplify right side
    4,513.88x = 48,658,472.19
  5. Step 5: Solve for x
    x = 48,658,472.19/4,513.88
  6. Step 6: Final answer
    x = 10,779.76

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.