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Finding the Third Proportional to 47,133 and 67,207.50

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Solution

The third proportional to 47,133 and 67,207.50 is: 95,831.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,133 : 67,207.50 = 67,207.50 : x
  2. Step 2: Convert to fraction form
    47,133/67,207.50 = 67,207.50/x
  3. Step 3: Cross multiply
    47,133x = 67,207.50 × 67,207.50
  4. Step 4: Simplify right side
    47,133x = 4,516,848,056.25
  5. Step 5: Solve for x
    x = 4,516,848,056.25/47,133
  6. Step 6: Final answer
    x = 95,831.97

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.