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Finding the Third Proportional to 32,508 and 43,572

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Solution

The third proportional to 32,508 and 43,572 is: 58,401.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,508 : 43,572 = 43,572 : x
  2. Step 2: Convert to fraction form
    32,508/43,572 = 43,572/x
  3. Step 3: Cross multiply
    32,508x = 43,572 × 43,572
  4. Step 4: Simplify right side
    32,508x = 1,898,519,184
  5. Step 5: Solve for x
    x = 1,898,519,184/32,508
  6. Step 6: Final answer
    x = 58,401.60

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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.