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Finding the Third Proportional to 5,167.55 and 6,783.12

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Solution

The third proportional to 5,167.55 and 6,783.12 is: 8,903.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,167.55 : 6,783.12 = 6,783.12 : x
  2. Step 2: Convert to fraction form
    5,167.55/6,783.12 = 6,783.12/x
  3. Step 3: Cross multiply
    5,167.55x = 6,783.12 × 6,783.12
  4. Step 4: Simplify right side
    5,167.55x = 46,010,678.78
  5. Step 5: Solve for x
    x = 46,010,678.78/5,167.55
  6. Step 6: Final answer
    x = 8,903.78

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.