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Finding the Third Proportional to 5,632.88 and 13,159.13

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Solution

The third proportional to 5,632.88 and 13,159.13 is: 30,741.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,632.88 : 13,159.13 = 13,159.13 : x
  2. Step 2: Convert to fraction form
    5,632.88/13,159.13 = 13,159.13/x
  3. Step 3: Cross multiply
    5,632.88x = 13,159.13 × 13,159.13
  4. Step 4: Simplify right side
    5,632.88x = 173,162,570.77
  5. Step 5: Solve for x
    x = 173,162,570.77/5,632.88
  6. Step 6: Final answer
    x = 30,741.42

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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.