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Finding the Third Proportional to 14,521.62 and 21,512.62

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Solution

The third proportional to 14,521.62 and 21,512.62 is: 31,869.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,521.62 : 21,512.62 = 21,512.62 : x
  2. Step 2: Convert to fraction form
    14,521.62/21,512.62 = 21,512.62/x
  3. Step 3: Cross multiply
    14,521.62x = 21,512.62 × 21,512.62
  4. Step 4: Simplify right side
    14,521.62x = 462,792,782.29
  5. Step 5: Solve for x
    x = 462,792,782.29/14,521.62
  6. Step 6: Final answer
    x = 31,869.22

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.