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Finding the Third Proportional to 39,461.84 and 86,563.69

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Solution

The third proportional to 39,461.84 and 86,563.69 is: 189,886.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,461.84 : 86,563.69 = 86,563.69 : x
  2. Step 2: Convert to fraction form
    39,461.84/86,563.69 = 86,563.69/x
  3. Step 3: Cross multiply
    39,461.84x = 86,563.69 × 86,563.69
  4. Step 4: Simplify right side
    39,461.84x = 7,493,271,993.60
  5. Step 5: Solve for x
    x = 7,493,271,993.60/39,461.84
  6. Step 6: Final answer
    x = 189,886.55

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.