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Finding the Third Proportional to 13,585.22 and 29,497.92

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Solution

The third proportional to 13,585.22 and 29,497.92 is: 64,049.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,585.22 : 29,497.92 = 29,497.92 : x
  2. Step 2: Convert to fraction form
    13,585.22/29,497.92 = 29,497.92/x
  3. Step 3: Cross multiply
    13,585.22x = 29,497.92 × 29,497.92
  4. Step 4: Simplify right side
    13,585.22x = 870,127,394.94
  5. Step 5: Solve for x
    x = 870,127,394.94/13,585.22
  6. Step 6: Final answer
    x = 64,049.57

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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.