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Finding the Third Proportional to 39,271.50 and 85,873.50

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Solution

The third proportional to 39,271.50 and 85,873.50 is: 187,776.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,271.50 : 85,873.50 = 85,873.50 : x
  2. Step 2: Convert to fraction form
    39,271.50/85,873.50 = 85,873.50/x
  3. Step 3: Cross multiply
    39,271.50x = 85,873.50 × 85,873.50
  4. Step 4: Simplify right side
    39,271.50x = 7,374,258,002.25
  5. Step 5: Solve for x
    x = 7,374,258,002.25/39,271.50
  6. Step 6: Final answer
    x = 187,776.33

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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.