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Finding the Third Proportional to 32,157 and 45,577.69

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Solution

The third proportional to 32,157 and 45,577.69 is: 64,599.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,157 : 45,577.69 = 45,577.69 : x
  2. Step 2: Convert to fraction form
    32,157/45,577.69 = 45,577.69/x
  3. Step 3: Cross multiply
    32,157x = 45,577.69 × 45,577.69
  4. Step 4: Simplify right side
    32,157x = 2,077,325,597.85
  5. Step 5: Solve for x
    x = 2,077,325,597.85/32,157
  6. Step 6: Final answer
    x = 64,599.48

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These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.