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Finding the Third Proportional to 10,587.59 and 23,003.37

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Solution

The third proportional to 10,587.59 and 23,003.37 is: 49,978.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,587.59 : 23,003.37 = 23,003.37 : x
  2. Step 2: Convert to fraction form
    10,587.59/23,003.37 = 23,003.37/x
  3. Step 3: Cross multiply
    10,587.59x = 23,003.37 × 23,003.37
  4. Step 4: Simplify right side
    10,587.59x = 529,154,901.96
  5. Step 5: Solve for x
    x = 529,154,901.96/10,587.59
  6. Step 6: Final answer
    x = 49,978.81

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.