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Finding the Third Proportional to 32,517 and 48,555

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Solution

The third proportional to 32,517 and 48,555 is: 72,503.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,517 : 48,555 = 48,555 : x
  2. Step 2: Convert to fraction form
    32,517/48,555 = 48,555/x
  3. Step 3: Cross multiply
    32,517x = 48,555 × 48,555
  4. Step 4: Simplify right side
    32,517x = 2,357,588,025
  5. Step 5: Solve for x
    x = 2,357,588,025/32,517
  6. Step 6: Final answer
    x = 72,503.25

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.