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Finding the Third Proportional to 32,402 and 48,549

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Solution

The third proportional to 32,402 and 48,549 is: 72,742.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,402 : 48,549 = 48,549 : x
  2. Step 2: Convert to fraction form
    32,402/48,549 = 48,549/x
  3. Step 3: Cross multiply
    32,402x = 48,549 × 48,549
  4. Step 4: Simplify right side
    32,402x = 2,357,005,401
  5. Step 5: Solve for x
    x = 2,357,005,401/32,402
  6. Step 6: Final answer
    x = 72,742.59

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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.