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Finding the Third Proportional to 9,068.63 and 21,191.63

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Solution

The third proportional to 9,068.63 and 21,191.63 is: 49,520.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,068.63 : 21,191.63 = 21,191.63 : x
  2. Step 2: Convert to fraction form
    9,068.63/21,191.63 = 21,191.63/x
  3. Step 3: Cross multiply
    9,068.63x = 21,191.63 × 21,191.63
  4. Step 4: Simplify right side
    9,068.63x = 449,084,970.14
  5. Step 5: Solve for x
    x = 449,084,970.14/9,068.63
  6. Step 6: Final answer
    x = 49,520.73

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.