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Finding the Third Proportional to 7,587.58 and 17,722.39

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Solution

The third proportional to 7,587.58 and 17,722.39 is: 41,394.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,587.58 : 17,722.39 = 17,722.39 : x
  2. Step 2: Convert to fraction form
    7,587.58/17,722.39 = 17,722.39/x
  3. Step 3: Cross multiply
    7,587.58x = 17,722.39 × 17,722.39
  4. Step 4: Simplify right side
    7,587.58x = 314,083,060.24
  5. Step 5: Solve for x
    x = 314,083,060.24/7,587.58
  6. Step 6: Final answer
    x = 41,394.37

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.