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Finding the Third Proportional to 32,324 and 49,908

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Solution

The third proportional to 32,324 and 49,908 is: 77,057.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,324 : 49,908 = 49,908 : x
  2. Step 2: Convert to fraction form
    32,324/49,908 = 49,908/x
  3. Step 3: Cross multiply
    32,324x = 49,908 × 49,908
  4. Step 4: Simplify right side
    32,324x = 2,490,808,464
  5. Step 5: Solve for x
    x = 2,490,808,464/32,324
  6. Step 6: Final answer
    x = 77,057.56

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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.