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Finding the Third Proportional to 32,301 and 47,173.50

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Solution

The third proportional to 32,301 and 47,173.50 is: 68,893.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,301 : 47,173.50 = 47,173.50 : x
  2. Step 2: Convert to fraction form
    32,301/47,173.50 = 47,173.50/x
  3. Step 3: Cross multiply
    32,301x = 47,173.50 × 47,173.50
  4. Step 4: Simplify right side
    32,301x = 2,225,339,102.25
  5. Step 5: Solve for x
    x = 2,225,339,102.25/32,301
  6. Step 6: Final answer
    x = 68,893.81

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.