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Finding the Third Proportional to 42,052 and 49,732

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Solution

The third proportional to 42,052 and 49,732 is: 58,814.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,052 : 49,732 = 49,732 : x
  2. Step 2: Convert to fraction form
    42,052/49,732 = 49,732/x
  3. Step 3: Cross multiply
    42,052x = 49,732 × 49,732
  4. Step 4: Simplify right side
    42,052x = 2,473,271,824
  5. Step 5: Solve for x
    x = 2,473,271,824/42,052
  6. Step 6: Final answer
    x = 58,814.61

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Why These Related Problems?

These problems maintain the same ratio (1.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.