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Finding the Third Proportional to 39,152.25 and 59,506.88

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Solution

The third proportional to 39,152.25 and 59,506.88 is: 90,443.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,152.25 : 59,506.88 = 59,506.88 : x
  2. Step 2: Convert to fraction form
    39,152.25/59,506.88 = 59,506.88/x
  3. Step 3: Cross multiply
    39,152.25x = 59,506.88 × 59,506.88
  4. Step 4: Simplify right side
    39,152.25x = 3,541,068,172.27
  5. Step 5: Solve for x
    x = 3,541,068,172.27/39,152.25
  6. Step 6: Final answer
    x = 90,443.54

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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.