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Finding the Third Proportional to 25,156 and 37,740

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Solution

The third proportional to 25,156 and 37,740 is: 56,619.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,156 : 37,740 = 37,740 : x
  2. Step 2: Convert to fraction form
    25,156/37,740 = 37,740/x
  3. Step 3: Cross multiply
    25,156x = 37,740 × 37,740
  4. Step 4: Simplify right side
    25,156x = 1,424,307,600
  5. Step 5: Solve for x
    x = 1,424,307,600/25,156
  6. Step 6: Final answer
    x = 56,619.00

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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.