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Finding the Third Proportional to 32,042 and 44,937

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Solution

The third proportional to 32,042 and 44,937 is: 63,021.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,042 : 44,937 = 44,937 : x
  2. Step 2: Convert to fraction form
    32,042/44,937 = 44,937/x
  3. Step 3: Cross multiply
    32,042x = 44,937 × 44,937
  4. Step 4: Simplify right side
    32,042x = 2,019,333,969
  5. Step 5: Solve for x
    x = 2,019,333,969/32,042
  6. Step 6: Final answer
    x = 63,021.47

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.