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Finding the Third Proportional to 20,828.81 and 45,812.25

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Solution

The third proportional to 20,828.81 and 45,812.25 is: 100,762.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,828.81 : 45,812.25 = 45,812.25 : x
  2. Step 2: Convert to fraction form
    20,828.81/45,812.25 = 45,812.25/x
  3. Step 3: Cross multiply
    20,828.81x = 45,812.25 × 45,812.25
  4. Step 4: Simplify right side
    20,828.81x = 2,098,762,250.06
  5. Step 5: Solve for x
    x = 2,098,762,250.06/20,828.81
  6. Step 6: Final answer
    x = 100,762.45

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.