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Finding the Third Proportional to 32,124.38 and 45,659.25

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Solution

The third proportional to 32,124.38 and 45,659.25 is: 64,896.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,124.38 : 45,659.25 = 45,659.25 : x
  2. Step 2: Convert to fraction form
    32,124.38/45,659.25 = 45,659.25/x
  3. Step 3: Cross multiply
    32,124.38x = 45,659.25 × 45,659.25
  4. Step 4: Simplify right side
    32,124.38x = 2,084,767,110.56
  5. Step 5: Solve for x
    x = 2,084,767,110.56/32,124.38
  6. Step 6: Final answer
    x = 64,896.74

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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.