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Finding the Third Proportional to 25,313 and 36,996

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Solution

The third proportional to 25,313 and 36,996 is: 54,071.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,313 : 36,996 = 36,996 : x
  2. Step 2: Convert to fraction form
    25,313/36,996 = 36,996/x
  3. Step 3: Cross multiply
    25,313x = 36,996 × 36,996
  4. Step 4: Simplify right side
    25,313x = 1,368,704,016
  5. Step 5: Solve for x
    x = 1,368,704,016/25,313
  6. Step 6: Final answer
    x = 54,071.19

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.