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Finding the Third Proportional to 13,993.88 and 21,666.94

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Solution

The third proportional to 13,993.88 and 21,666.94 is: 33,547.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,993.88 : 21,666.94 = 21,666.94 : x
  2. Step 2: Convert to fraction form
    13,993.88/21,666.94 = 21,666.94/x
  3. Step 3: Cross multiply
    13,993.88x = 21,666.94 × 21,666.94
  4. Step 4: Simplify right side
    13,993.88x = 469,456,180.63
  5. Step 5: Solve for x
    x = 469,456,180.63/13,993.88
  6. Step 6: Final answer
    x = 33,547.26

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.