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Finding the Third Proportional to 12,287.64 and 21,172.32

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Solution

The third proportional to 12,287.64 and 21,172.32 is: 36,481.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,287.64 : 21,172.32 = 21,172.32 : x
  2. Step 2: Convert to fraction form
    12,287.64/21,172.32 = 21,172.32/x
  3. Step 3: Cross multiply
    12,287.64x = 21,172.32 × 21,172.32
  4. Step 4: Simplify right side
    12,287.64x = 448,267,312.82
  5. Step 5: Solve for x
    x = 448,267,312.82/12,287.64
  6. Step 6: Final answer
    x = 36,481.17

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Why These Related Problems?

These problems maintain the same ratio (1.72) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.