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Finding the Third Proportional to 32,272 and 48,406

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Solution

The third proportional to 32,272 and 48,406 is: 72,606.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,272 : 48,406 = 48,406 : x
  2. Step 2: Convert to fraction form
    32,272/48,406 = 48,406/x
  3. Step 3: Cross multiply
    32,272x = 48,406 × 48,406
  4. Step 4: Simplify right side
    32,272x = 2,343,140,836
  5. Step 5: Solve for x
    x = 2,343,140,836/32,272
  6. Step 6: Final answer
    x = 72,606.00

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.