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Finding the Third Proportional to 14,366.53 and 21,569.41

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Solution

The third proportional to 14,366.53 and 21,569.41 is: 32,383.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,366.53 : 21,569.41 = 21,569.41 : x
  2. Step 2: Convert to fraction form
    14,366.53/21,569.41 = 21,569.41/x
  3. Step 3: Cross multiply
    14,366.53x = 21,569.41 × 21,569.41
  4. Step 4: Simplify right side
    14,366.53x = 465,239,623.00
  5. Step 5: Solve for x
    x = 465,239,623.00/14,366.53
  6. Step 6: Final answer
    x = 32,383.57

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.