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Finding the Third Proportional to 32,046 and 74,872

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Solution

The third proportional to 32,046 and 74,872 is: 174,930.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,046 : 74,872 = 74,872 : x
  2. Step 2: Convert to fraction form
    32,046/74,872 = 74,872/x
  3. Step 3: Cross multiply
    32,046x = 74,872 × 74,872
  4. Step 4: Simplify right side
    32,046x = 5,605,816,384
  5. Step 5: Solve for x
    x = 5,605,816,384/32,046
  6. Step 6: Final answer
    x = 174,930.30

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.