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Finding the Third Proportional to 22,771.13 and 48,317.06

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Solution

The third proportional to 22,771.13 and 48,317.06 is: 102,521.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,771.13 : 48,317.06 = 48,317.06 : x
  2. Step 2: Convert to fraction form
    22,771.13/48,317.06 = 48,317.06/x
  3. Step 3: Cross multiply
    22,771.13x = 48,317.06 × 48,317.06
  4. Step 4: Simplify right side
    22,771.13x = 2,334,538,528.63
  5. Step 5: Solve for x
    x = 2,334,538,528.63/22,771.13
  6. Step 6: Final answer
    x = 102,521.88

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.