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Finding the Third Proportional to 10,967.91 and 23,495.06

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Solution

The third proportional to 10,967.91 and 23,495.06 is: 50,330.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,967.91 : 23,495.06 = 23,495.06 : x
  2. Step 2: Convert to fraction form
    10,967.91/23,495.06 = 23,495.06/x
  3. Step 3: Cross multiply
    10,967.91x = 23,495.06 × 23,495.06
  4. Step 4: Simplify right side
    10,967.91x = 552,017,961.88
  5. Step 5: Solve for x
    x = 552,017,961.88/10,967.91
  6. Step 6: Final answer
    x = 50,330.30

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.