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Finding the Third Proportional to 23,697 and 36,971.50

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Solution

The third proportional to 23,697 and 36,971.50 is: 57,682.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,697 : 36,971.50 = 36,971.50 : x
  2. Step 2: Convert to fraction form
    23,697/36,971.50 = 36,971.50/x
  3. Step 3: Cross multiply
    23,697x = 36,971.50 × 36,971.50
  4. Step 4: Simplify right side
    23,697x = 1,366,891,812.25
  5. Step 5: Solve for x
    x = 1,366,891,812.25/23,697
  6. Step 6: Final answer
    x = 57,682.06

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.