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Finding the Third Proportional to 32,288.63 and 69,270.19

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Solution

The third proportional to 32,288.63 and 69,270.19 is: 148,608.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,288.63 : 69,270.19 = 69,270.19 : x
  2. Step 2: Convert to fraction form
    32,288.63/69,270.19 = 69,270.19/x
  3. Step 3: Cross multiply
    32,288.63x = 69,270.19 × 69,270.19
  4. Step 4: Simplify right side
    32,288.63x = 4,798,358,876.29
  5. Step 5: Solve for x
    x = 4,798,358,876.29/32,288.63
  6. Step 6: Final answer
    x = 148,608.34

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