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Finding the Third Proportional to 13,640.91 and 21,038.48

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Solution

The third proportional to 13,640.91 and 21,038.48 is: 32,447.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,640.91 : 21,038.48 = 21,038.48 : x
  2. Step 2: Convert to fraction form
    13,640.91/21,038.48 = 21,038.48/x
  3. Step 3: Cross multiply
    13,640.91x = 21,038.48 × 21,038.48
  4. Step 4: Simplify right side
    13,640.91x = 442,617,824.80
  5. Step 5: Solve for x
    x = 442,617,824.80/13,640.91
  6. Step 6: Final answer
    x = 32,447.83

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.