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Finding the Third Proportional to 32,199 and 49,254

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Solution

The third proportional to 32,199 and 49,254 is: 75,342.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,199 : 49,254 = 49,254 : x
  2. Step 2: Convert to fraction form
    32,199/49,254 = 49,254/x
  3. Step 3: Cross multiply
    32,199x = 49,254 × 49,254
  4. Step 4: Simplify right side
    32,199x = 2,425,956,516
  5. Step 5: Solve for x
    x = 2,425,956,516/32,199
  6. Step 6: Final answer
    x = 75,342.60

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.