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Finding the Third Proportional to 20,567.25 and 42,592.50

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Solution

The third proportional to 20,567.25 and 42,592.50 is: 88,204.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,567.25 : 42,592.50 = 42,592.50 : x
  2. Step 2: Convert to fraction form
    20,567.25/42,592.50 = 42,592.50/x
  3. Step 3: Cross multiply
    20,567.25x = 42,592.50 × 42,592.50
  4. Step 4: Simplify right side
    20,567.25x = 1,814,121,056.25
  5. Step 5: Solve for x
    x = 1,814,121,056.25/20,567.25
  6. Step 6: Final answer
    x = 88,204.36

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.