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Finding the Third Proportional to 32,889 and 71,033

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Solution

The third proportional to 32,889 and 71,033 is: 153,415.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,889 : 71,033 = 71,033 : x
  2. Step 2: Convert to fraction form
    32,889/71,033 = 71,033/x
  3. Step 3: Cross multiply
    32,889x = 71,033 × 71,033
  4. Step 4: Simplify right side
    32,889x = 5,045,687,089
  5. Step 5: Solve for x
    x = 5,045,687,089/32,889
  6. Step 6: Final answer
    x = 153,415.64

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.