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Finding the Third Proportional to 32,579 and 43,576

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Solution

The third proportional to 32,579 and 43,576 is: 58,285.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,579 : 43,576 = 43,576 : x
  2. Step 2: Convert to fraction form
    32,579/43,576 = 43,576/x
  3. Step 3: Cross multiply
    32,579x = 43,576 × 43,576
  4. Step 4: Simplify right side
    32,579x = 1,898,867,776
  5. Step 5: Solve for x
    x = 1,898,867,776/32,579
  6. Step 6: Final answer
    x = 58,285.02

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.