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Finding the Third Proportional to 24,592 and 36,888

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Solution

The third proportional to 24,592 and 36,888 is: 55,332

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,592 : 36,888 = 36,888 : x
  2. Step 2: Convert to fraction form
    24,592/36,888 = 36,888/x
  3. Step 3: Cross multiply
    24,592x = 36,888 × 36,888
  4. Step 4: Simplify right side
    24,592x = 1,360,724,544
  5. Step 5: Solve for x
    x = 1,360,724,544/24,592
  6. Step 6: Final answer
    x = 55,332

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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.