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Finding the Third Proportional to 39,006.56 and 84,528.56

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Solution

The third proportional to 39,006.56 and 84,528.56 is: 183,176.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,006.56 : 84,528.56 = 84,528.56 : x
  2. Step 2: Convert to fraction form
    39,006.56/84,528.56 = 84,528.56/x
  3. Step 3: Cross multiply
    39,006.56x = 84,528.56 × 84,528.56
  4. Step 4: Simplify right side
    39,006.56x = 7,145,077,878.32
  5. Step 5: Solve for x
    x = 7,145,077,878.32/39,006.56
  6. Step 6: Final answer
    x = 183,176.30

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.