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Finding the Third Proportional to 39,069 and 62,275.50

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Solution

The third proportional to 39,069 and 62,275.50 is: 99,266.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,069 : 62,275.50 = 62,275.50 : x
  2. Step 2: Convert to fraction form
    39,069/62,275.50 = 62,275.50/x
  3. Step 3: Cross multiply
    39,069x = 62,275.50 × 62,275.50
  4. Step 4: Simplify right side
    39,069x = 3,878,237,900.25
  5. Step 5: Solve for x
    x = 3,878,237,900.25/39,069
  6. Step 6: Final answer
    x = 99,266.37

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.