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Finding the Third Proportional to 34,417.50 and 61,291.50

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Solution

The third proportional to 34,417.50 and 61,291.50 is: 109,149.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,417.50 : 61,291.50 = 61,291.50 : x
  2. Step 2: Convert to fraction form
    34,417.50/61,291.50 = 61,291.50/x
  3. Step 3: Cross multiply
    34,417.50x = 61,291.50 × 61,291.50
  4. Step 4: Simplify right side
    34,417.50x = 3,756,647,972.25
  5. Step 5: Solve for x
    x = 3,756,647,972.25/34,417.50
  6. Step 6: Final answer
    x = 109,149.36

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These problems maintain the same ratio (1.78) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.