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Finding the Third Proportional to 32,966 and 73,312

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Solution

The third proportional to 32,966 and 73,312 is: 163,036.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,966 : 73,312 = 73,312 : x
  2. Step 2: Convert to fraction form
    32,966/73,312 = 73,312/x
  3. Step 3: Cross multiply
    32,966x = 73,312 × 73,312
  4. Step 4: Simplify right side
    32,966x = 5,374,649,344
  5. Step 5: Solve for x
    x = 5,374,649,344/32,966
  6. Step 6: Final answer
    x = 163,036.14

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.