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Finding the Third Proportional to 25,092 and 37,640

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Solution

The third proportional to 25,092 and 37,640 is: 56,463.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,092 : 37,640 = 37,640 : x
  2. Step 2: Convert to fraction form
    25,092/37,640 = 37,640/x
  3. Step 3: Cross multiply
    25,092x = 37,640 × 37,640
  4. Step 4: Simplify right side
    25,092x = 1,416,769,600
  5. Step 5: Solve for x
    x = 1,416,769,600/25,092
  6. Step 6: Final answer
    x = 56,463.00

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.