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Finding the Third Proportional to 13,964.63 and 21,569.63

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Solution

The third proportional to 13,964.63 and 21,569.63 is: 33,316.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,964.63 : 21,569.63 = 21,569.63 : x
  2. Step 2: Convert to fraction form
    13,964.63/21,569.63 = 21,569.63/x
  3. Step 3: Cross multiply
    13,964.63x = 21,569.63 × 21,569.63
  4. Step 4: Simplify right side
    13,964.63x = 465,248,722.64
  5. Step 5: Solve for x
    x = 465,248,722.64/13,964.63
  6. Step 6: Final answer
    x = 33,316.23

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Why These Related Problems?

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