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Finding the Third Proportional to 32,291 and 48,623

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Solution

The third proportional to 32,291 and 48,623 is: 73,215.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,291 : 48,623 = 48,623 : x
  2. Step 2: Convert to fraction form
    32,291/48,623 = 48,623/x
  3. Step 3: Cross multiply
    32,291x = 48,623 × 48,623
  4. Step 4: Simplify right side
    32,291x = 2,364,196,129
  5. Step 5: Solve for x
    x = 2,364,196,129/32,291
  6. Step 6: Final answer
    x = 73,215.33

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.