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Finding the Third Proportional to 5,587.10 and 11,327.98

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Solution

The third proportional to 5,587.10 and 11,327.98 is: 22,967.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,587.10 : 11,327.98 = 11,327.98 : x
  2. Step 2: Convert to fraction form
    5,587.10/11,327.98 = 11,327.98/x
  3. Step 3: Cross multiply
    5,587.10x = 11,327.98 × 11,327.98
  4. Step 4: Simplify right side
    5,587.10x = 128,323,053.00
  5. Step 5: Solve for x
    x = 128,323,053.00/5,587.10
  6. Step 6: Final answer
    x = 22,967.73

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.