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Finding the Third Proportional to 32,296.50 and 43,623

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Solution

The third proportional to 32,296.50 and 43,623 is: 58,921.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,296.50 : 43,623 = 43,623 : x
  2. Step 2: Convert to fraction form
    32,296.50/43,623 = 43,623/x
  3. Step 3: Cross multiply
    32,296.50x = 43,623 × 43,623
  4. Step 4: Simplify right side
    32,296.50x = 1,902,966,129
  5. Step 5: Solve for x
    x = 1,902,966,129/32,296.50
  6. Step 6: Final answer
    x = 58,921.74

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.