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Finding the Third Proportional to 13,464.56 and 28,761.75

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Solution

The third proportional to 13,464.56 and 28,761.75 is: 61,438.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,464.56 : 28,761.75 = 28,761.75 : x
  2. Step 2: Convert to fraction form
    13,464.56/28,761.75 = 28,761.75/x
  3. Step 3: Cross multiply
    13,464.56x = 28,761.75 × 28,761.75
  4. Step 4: Simplify right side
    13,464.56x = 827,238,263.06
  5. Step 5: Solve for x
    x = 827,238,263.06/13,464.56
  6. Step 6: Final answer
    x = 61,438.18

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.