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Finding the Third Proportional to 25,947 and 39,892.50

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Solution

The third proportional to 25,947 and 39,892.50 is: 61,333.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,947 : 39,892.50 = 39,892.50 : x
  2. Step 2: Convert to fraction form
    25,947/39,892.50 = 39,892.50/x
  3. Step 3: Cross multiply
    25,947x = 39,892.50 × 39,892.50
  4. Step 4: Simplify right side
    25,947x = 1,591,411,556.25
  5. Step 5: Solve for x
    x = 1,591,411,556.25/25,947
  6. Step 6: Final answer
    x = 61,333.16

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.