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Finding the Third Proportional to 12,825.56 and 27,567.56

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Solution

The third proportional to 12,825.56 and 27,567.56 is: 59,254.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,825.56 : 27,567.56 = 27,567.56 : x
  2. Step 2: Convert to fraction form
    12,825.56/27,567.56 = 27,567.56/x
  3. Step 3: Cross multiply
    12,825.56x = 27,567.56 × 27,567.56
  4. Step 4: Simplify right side
    12,825.56x = 759,970,502.19
  5. Step 5: Solve for x
    x = 759,970,502.19/12,825.56
  6. Step 6: Final answer
    x = 59,254.36

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.