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Finding the Third Proportional to 39,897.56 and 83,880.56

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Solution

The third proportional to 39,897.56 and 83,880.56 is: 176,350.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,897.56 : 83,880.56 = 83,880.56 : x
  2. Step 2: Convert to fraction form
    39,897.56/83,880.56 = 83,880.56/x
  3. Step 3: Cross multiply
    39,897.56x = 83,880.56 × 83,880.56
  4. Step 4: Simplify right side
    39,897.56x = 7,035,948,765.32
  5. Step 5: Solve for x
    x = 7,035,948,765.32/39,897.56
  6. Step 6: Final answer
    x = 176,350.34

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.