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Finding the Third Proportional to 20,756.25 and 42,989.50

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Solution

The third proportional to 20,756.25 and 42,989.50 is: 89,038.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,756.25 : 42,989.50 = 42,989.50 : x
  2. Step 2: Convert to fraction form
    20,756.25/42,989.50 = 42,989.50/x
  3. Step 3: Cross multiply
    20,756.25x = 42,989.50 × 42,989.50
  4. Step 4: Simplify right side
    20,756.25x = 1,848,097,110.25
  5. Step 5: Solve for x
    x = 1,848,097,110.25/20,756.25
  6. Step 6: Final answer
    x = 89,038.10

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