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Finding the Third Proportional to 13,257.38 and 28,590.38

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Solution

The third proportional to 13,257.38 and 28,590.38 is: 61,656.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,257.38 : 28,590.38 = 28,590.38 : x
  2. Step 2: Convert to fraction form
    13,257.38/28,590.38 = 28,590.38/x
  3. Step 3: Cross multiply
    13,257.38x = 28,590.38 × 28,590.38
  4. Step 4: Simplify right side
    13,257.38x = 817,409,542.64
  5. Step 5: Solve for x
    x = 817,409,542.64/13,257.38
  6. Step 6: Final answer
    x = 61,656.97

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.