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Finding the Third Proportional to 39,201 and 59,722.50

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Solution

The third proportional to 39,201 and 59,722.50 is: 90,986.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,201 : 59,722.50 = 59,722.50 : x
  2. Step 2: Convert to fraction form
    39,201/59,722.50 = 59,722.50/x
  3. Step 3: Cross multiply
    39,201x = 59,722.50 × 59,722.50
  4. Step 4: Simplify right side
    39,201x = 3,566,777,006.25
  5. Step 5: Solve for x
    x = 3,566,777,006.25/39,201
  6. Step 6: Final answer
    x = 90,986.89

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.