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Finding the Third Proportional to 32,004 and 74,259

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Solution

The third proportional to 32,004 and 74,259 is: 172,303.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,004 : 74,259 = 74,259 : x
  2. Step 2: Convert to fraction form
    32,004/74,259 = 74,259/x
  3. Step 3: Cross multiply
    32,004x = 74,259 × 74,259
  4. Step 4: Simplify right side
    32,004x = 5,514,399,081
  5. Step 5: Solve for x
    x = 5,514,399,081/32,004
  6. Step 6: Final answer
    x = 172,303.43

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.