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Finding the Third Proportional to 25,957 and 39,109.50

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Solution

The third proportional to 25,957 and 39,109.50 is: 58,926.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,957 : 39,109.50 = 39,109.50 : x
  2. Step 2: Convert to fraction form
    25,957/39,109.50 = 39,109.50/x
  3. Step 3: Cross multiply
    25,957x = 39,109.50 × 39,109.50
  4. Step 4: Simplify right side
    25,957x = 1,529,552,990.25
  5. Step 5: Solve for x
    x = 1,529,552,990.25/25,957
  6. Step 6: Final answer
    x = 58,926.42

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.