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Finding the Third Proportional to 39,237.50 and 85,764.25

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Solution

The third proportional to 39,237.50 and 85,764.25 is: 187,461.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,237.50 : 85,764.25 = 85,764.25 : x
  2. Step 2: Convert to fraction form
    39,237.50/85,764.25 = 85,764.25/x
  3. Step 3: Cross multiply
    39,237.50x = 85,764.25 × 85,764.25
  4. Step 4: Simplify right side
    39,237.50x = 7,355,506,578.06
  5. Step 5: Solve for x
    x = 7,355,506,578.06/39,237.50
  6. Step 6: Final answer
    x = 187,461.14

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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.