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Finding the Third Proportional to 22,503.75 and 32,829.75

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Solution

The third proportional to 22,503.75 and 32,829.75 is: 47,893.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,503.75 : 32,829.75 = 32,829.75 : x
  2. Step 2: Convert to fraction form
    22,503.75/32,829.75 = 32,829.75/x
  3. Step 3: Cross multiply
    22,503.75x = 32,829.75 × 32,829.75
  4. Step 4: Simplify right side
    22,503.75x = 1,077,792,485.06
  5. Step 5: Solve for x
    x = 1,077,792,485.06/22,503.75
  6. Step 6: Final answer
    x = 47,893.91

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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.