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Finding the Third Proportional to 32,935 and 72,272

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Solution

The third proportional to 32,935 and 72,272 is: 158,592.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,935 : 72,272 = 72,272 : x
  2. Step 2: Convert to fraction form
    32,935/72,272 = 72,272/x
  3. Step 3: Cross multiply
    32,935x = 72,272 × 72,272
  4. Step 4: Simplify right side
    32,935x = 5,223,241,984
  5. Step 5: Solve for x
    x = 5,223,241,984/32,935
  6. Step 6: Final answer
    x = 158,592.44

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.