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Finding the Third Proportional to 2,827.50 and 6,567.56

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Solution

The third proportional to 2,827.50 and 6,567.56 is: 15,254.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,827.50 : 6,567.56 = 6,567.56 : x
  2. Step 2: Convert to fraction form
    2,827.50/6,567.56 = 6,567.56/x
  3. Step 3: Cross multiply
    2,827.50x = 6,567.56 × 6,567.56
  4. Step 4: Simplify right side
    2,827.50x = 43,132,877.19
  5. Step 5: Solve for x
    x = 43,132,877.19/2,827.50
  6. Step 6: Final answer
    x = 15,254.78

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.