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Finding the Third Proportional to 32,003.86 and 66,075.12

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Solution

The third proportional to 32,003.86 and 66,075.12 is: 136,418.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,003.86 : 66,075.12 = 66,075.12 : x
  2. Step 2: Convert to fraction form
    32,003.86/66,075.12 = 66,075.12/x
  3. Step 3: Cross multiply
    32,003.86x = 66,075.12 × 66,075.12
  4. Step 4: Simplify right side
    32,003.86x = 4,365,921,111.34
  5. Step 5: Solve for x
    x = 4,365,921,111.34/32,003.86
  6. Step 6: Final answer
    x = 136,418.58

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.