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Finding the Third Proportional to 32,157.88 and 45,872.13

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Solution

The third proportional to 32,157.88 and 45,872.13 is: 65,435.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,157.88 : 45,872.13 = 45,872.13 : x
  2. Step 2: Convert to fraction form
    32,157.88/45,872.13 = 45,872.13/x
  3. Step 3: Cross multiply
    32,157.88x = 45,872.13 × 45,872.13
  4. Step 4: Simplify right side
    32,157.88x = 2,104,251,852.02
  5. Step 5: Solve for x
    x = 2,104,251,852.02/32,157.88
  6. Step 6: Final answer
    x = 65,435.04

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.