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Finding the Third Proportional to 17,564.34 and 35,675.44

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Solution

The third proportional to 17,564.34 and 35,675.44 is: 72,461.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,564.34 : 35,675.44 = 35,675.44 : x
  2. Step 2: Convert to fraction form
    17,564.34/35,675.44 = 35,675.44/x
  3. Step 3: Cross multiply
    17,564.34x = 35,675.44 × 35,675.44
  4. Step 4: Simplify right side
    17,564.34x = 1,272,736,840.82
  5. Step 5: Solve for x
    x = 1,272,736,840.82/17,564.34
  6. Step 6: Final answer
    x = 72,461.39

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.