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Finding the Third Proportional to 24,951 and 34,186.50

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Solution

The third proportional to 24,951 and 34,186.50 is: 46,840.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,951 : 34,186.50 = 34,186.50 : x
  2. Step 2: Convert to fraction form
    24,951/34,186.50 = 34,186.50/x
  3. Step 3: Cross multiply
    24,951x = 34,186.50 × 34,186.50
  4. Step 4: Simplify right side
    24,951x = 1,168,716,782.25
  5. Step 5: Solve for x
    x = 1,168,716,782.25/24,951
  6. Step 6: Final answer
    x = 46,840.48

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.