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Finding the Third Proportional to 32,622.75 and 47,972.25

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Solution

The third proportional to 32,622.75 and 47,972.25 is: 70,543.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,622.75 : 47,972.25 = 47,972.25 : x
  2. Step 2: Convert to fraction form
    32,622.75/47,972.25 = 47,972.25/x
  3. Step 3: Cross multiply
    32,622.75x = 47,972.25 × 47,972.25
  4. Step 4: Simplify right side
    32,622.75x = 2,301,336,770.06
  5. Step 5: Solve for x
    x = 2,301,336,770.06/32,622.75
  6. Step 6: Final answer
    x = 70,543.92

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.