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Finding the Third Proportional to 11,573.63 and 17,522.63

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Solution

The third proportional to 11,573.63 and 17,522.63 is: 26,529.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,573.63 : 17,522.63 = 17,522.63 : x
  2. Step 2: Convert to fraction form
    11,573.63/17,522.63 = 17,522.63/x
  3. Step 3: Cross multiply
    11,573.63x = 17,522.63 × 17,522.63
  4. Step 4: Simplify right side
    11,573.63x = 307,042,386.89
  5. Step 5: Solve for x
    x = 307,042,386.89/11,573.63
  6. Step 6: Final answer
    x = 26,529.49

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.