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Finding the Third Proportional to 32,044 and 48,049

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Solution

The third proportional to 32,044 and 48,049 is: 72,048.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,044 : 48,049 = 48,049 : x
  2. Step 2: Convert to fraction form
    32,044/48,049 = 48,049/x
  3. Step 3: Cross multiply
    32,044x = 48,049 × 48,049
  4. Step 4: Simplify right side
    32,044x = 2,308,706,401
  5. Step 5: Solve for x
    x = 2,308,706,401/32,044
  6. Step 6: Final answer
    x = 72,048.01

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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.