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Finding the Third Proportional to 18,559.13 and 29,577.66

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Solution

The third proportional to 18,559.13 and 29,577.66 is: 47,137.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,559.13 : 29,577.66 = 29,577.66 : x
  2. Step 2: Convert to fraction form
    18,559.13/29,577.66 = 29,577.66/x
  3. Step 3: Cross multiply
    18,559.13x = 29,577.66 × 29,577.66
  4. Step 4: Simplify right side
    18,559.13x = 874,837,749.24
  5. Step 5: Solve for x
    x = 874,837,749.24/18,559.13
  6. Step 6: Final answer
    x = 47,137.88

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.