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Finding the Third Proportional to 25,772 and 39,196

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Solution

The third proportional to 25,772 and 39,196 is: 59,612.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,772 : 39,196 = 39,196 : x
  2. Step 2: Convert to fraction form
    25,772/39,196 = 39,196/x
  3. Step 3: Cross multiply
    25,772x = 39,196 × 39,196
  4. Step 4: Simplify right side
    25,772x = 1,536,326,416
  5. Step 5: Solve for x
    x = 1,536,326,416/25,772
  6. Step 6: Final answer
    x = 59,612.23

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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.