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Finding the Third Proportional to 32,973.75 and 73,332

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Solution

The third proportional to 32,973.75 and 73,332 is: 163,086.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,973.75 : 73,332 = 73,332 : x
  2. Step 2: Convert to fraction form
    32,973.75/73,332 = 73,332/x
  3. Step 3: Cross multiply
    32,973.75x = 73,332 × 73,332
  4. Step 4: Simplify right side
    32,973.75x = 5,377,582,224
  5. Step 5: Solve for x
    x = 5,377,582,224/32,973.75
  6. Step 6: Final answer
    x = 163,086.77

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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.