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Finding the Third Proportional to 18,609.75 and 27,590.63

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Solution

The third proportional to 18,609.75 and 27,590.63 is: 40,905.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,609.75 : 27,590.63 = 27,590.63 : x
  2. Step 2: Convert to fraction form
    18,609.75/27,590.63 = 27,590.63/x
  3. Step 3: Cross multiply
    18,609.75x = 27,590.63 × 27,590.63
  4. Step 4: Simplify right side
    18,609.75x = 761,242,587.89
  5. Step 5: Solve for x
    x = 761,242,587.89/18,609.75
  6. Step 6: Final answer
    x = 40,905.58

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.