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Finding the Third Proportional to 32,556.09 and 69,109.03

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Solution

The third proportional to 32,556.09 and 69,109.03 is: 146,702.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,556.09 : 69,109.03 = 69,109.03 : x
  2. Step 2: Convert to fraction form
    32,556.09/69,109.03 = 69,109.03/x
  3. Step 3: Cross multiply
    32,556.09x = 69,109.03 × 69,109.03
  4. Step 4: Simplify right side
    32,556.09x = 4,776,058,200.31
  5. Step 5: Solve for x
    x = 4,776,058,200.31/32,556.09
  6. Step 6: Final answer
    x = 146,702.43

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.