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Finding the Third Proportional to 13,852.27 and 29,434.64

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Solution

The third proportional to 13,852.27 and 29,434.64 is: 62,545.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,852.27 : 29,434.64 = 29,434.64 : x
  2. Step 2: Convert to fraction form
    13,852.27/29,434.64 = 29,434.64/x
  3. Step 3: Cross multiply
    13,852.27x = 29,434.64 × 29,434.64
  4. Step 4: Simplify right side
    13,852.27x = 866,398,068.72
  5. Step 5: Solve for x
    x = 866,398,068.72/13,852.27
  6. Step 6: Final answer
    x = 62,545.59

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.