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Finding the Third Proportional to 22,617.56 and 45,842.63

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Solution

The third proportional to 22,617.56 and 45,842.63 is: 92,916.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,617.56 : 45,842.63 = 45,842.63 : x
  2. Step 2: Convert to fraction form
    22,617.56/45,842.63 = 45,842.63/x
  3. Step 3: Cross multiply
    22,617.56x = 45,842.63 × 45,842.63
  4. Step 4: Simplify right side
    22,617.56x = 2,101,546,266.89
  5. Step 5: Solve for x
    x = 2,101,546,266.89/22,617.56
  6. Step 6: Final answer
    x = 92,916.57

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.