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Finding the Third Proportional to 32,122 and 49,433

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Solution

The third proportional to 32,122 and 49,433 is: 76,073.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,122 : 49,433 = 49,433 : x
  2. Step 2: Convert to fraction form
    32,122/49,433 = 49,433/x
  3. Step 3: Cross multiply
    32,122x = 49,433 × 49,433
  4. Step 4: Simplify right side
    32,122x = 2,443,621,489
  5. Step 5: Solve for x
    x = 2,443,621,489/32,122
  6. Step 6: Final answer
    x = 76,073.14

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.