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Finding the Third Proportional to 32,270.63 and 69,485.63

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Solution

The third proportional to 32,270.63 and 69,485.63 is: 149,617.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,270.63 : 69,485.63 = 69,485.63 : x
  2. Step 2: Convert to fraction form
    32,270.63/69,485.63 = 69,485.63/x
  3. Step 3: Cross multiply
    32,270.63x = 69,485.63 × 69,485.63
  4. Step 4: Simplify right side
    32,270.63x = 4,828,252,081.64
  5. Step 5: Solve for x
    x = 4,828,252,081.64/32,270.63
  6. Step 6: Final answer
    x = 149,617.56

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.