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Finding the Third Proportional to 32,266 and 48,399

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Solution

The third proportional to 32,266 and 48,399 is: 72,598.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,266 : 48,399 = 48,399 : x
  2. Step 2: Convert to fraction form
    32,266/48,399 = 48,399/x
  3. Step 3: Cross multiply
    32,266x = 48,399 × 48,399
  4. Step 4: Simplify right side
    32,266x = 2,342,463,201
  5. Step 5: Solve for x
    x = 2,342,463,201/32,266
  6. Step 6: Final answer
    x = 72,598.50

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Why These Related Problems?

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