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Finding the Third Proportional to 25,316 and 37,946

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Solution

The third proportional to 25,316 and 37,946 is: 56,877.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,316 : 37,946 = 37,946 : x
  2. Step 2: Convert to fraction form
    25,316/37,946 = 37,946/x
  3. Step 3: Cross multiply
    25,316x = 37,946 × 37,946
  4. Step 4: Simplify right side
    25,316x = 1,439,898,916
  5. Step 5: Solve for x
    x = 1,439,898,916/25,316
  6. Step 6: Final answer
    x = 56,877.03

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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.