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Finding the Third Proportional to 31,496 and 44,033

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Solution

The third proportional to 31,496 and 44,033 is: 61,560.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,496 : 44,033 = 44,033 : x
  2. Step 2: Convert to fraction form
    31,496/44,033 = 44,033/x
  3. Step 3: Cross multiply
    31,496x = 44,033 × 44,033
  4. Step 4: Simplify right side
    31,496x = 1,938,905,089
  5. Step 5: Solve for x
    x = 1,938,905,089/31,496
  6. Step 6: Final answer
    x = 61,560.36

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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.