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Finding the Third Proportional to 32,023.13 and 51,157.69

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Solution

The third proportional to 32,023.13 and 51,157.69 is: 81,725.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,023.13 : 51,157.69 = 51,157.69 : x
  2. Step 2: Convert to fraction form
    32,023.13/51,157.69 = 51,157.69/x
  3. Step 3: Cross multiply
    32,023.13x = 51,157.69 × 51,157.69
  4. Step 4: Simplify right side
    32,023.13x = 2,617,108,990.35
  5. Step 5: Solve for x
    x = 2,617,108,990.35/32,023.13
  6. Step 6: Final answer
    x = 81,725.60

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.