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Finding the Third Proportional to 32,184.38 and 49,233.94

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Solution

The third proportional to 32,184.38 and 49,233.94 is: 75,315.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,184.38 : 49,233.94 = 49,233.94 : x
  2. Step 2: Convert to fraction form
    32,184.38/49,233.94 = 49,233.94/x
  3. Step 3: Cross multiply
    32,184.38x = 49,233.94 × 49,233.94
  4. Step 4: Simplify right side
    32,184.38x = 2,423,980,601.75
  5. Step 5: Solve for x
    x = 2,423,980,601.75/32,184.38
  6. Step 6: Final answer
    x = 75,315.45

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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.