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Finding the Third Proportional to 35,584.31 and 55,533.09

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Solution

The third proportional to 35,584.31 and 55,533.09 is: 86,665.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,584.31 : 55,533.09 = 55,533.09 : x
  2. Step 2: Convert to fraction form
    35,584.31/55,533.09 = 55,533.09/x
  3. Step 3: Cross multiply
    35,584.31x = 55,533.09 × 55,533.09
  4. Step 4: Simplify right side
    35,584.31x = 3,083,924,501.45
  5. Step 5: Solve for x
    x = 3,083,924,501.45/35,584.31
  6. Step 6: Final answer
    x = 86,665.28

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.