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Finding the Third Proportional to 22,685 and 32,725.50

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Solution

The third proportional to 22,685 and 32,725.50 is: 47,209.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,685 : 32,725.50 = 32,725.50 : x
  2. Step 2: Convert to fraction form
    22,685/32,725.50 = 32,725.50/x
  3. Step 3: Cross multiply
    22,685x = 32,725.50 × 32,725.50
  4. Step 4: Simplify right side
    22,685x = 1,070,958,350.25
  5. Step 5: Solve for x
    x = 1,070,958,350.25/22,685
  6. Step 6: Final answer
    x = 47,209.98

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.